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Finding the Third Proportional to 317,415,709,018 and 685,325,359,556

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Solution

The third proportional to 317,415,709,018 and 685,325,359,556 is: 1,479,671,090,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415,709,018 : 685,325,359,556 = 685,325,359,556 : x
  2. Step 2: Convert to fraction form
    317,415,709,018/685,325,359,556 = 685,325,359,556/x
  3. Step 3: Cross multiply
    317,415,709,018x = 685,325,359,556 × 685,325,359,556
  4. Step 4: Simplify right side
    317,415,709,018x = 469,670,848,450,560,652,214,272
  5. Step 5: Solve for x
    x = 469,670,848,450,560,652,214,272/317,415,709,018
  6. Step 6: Final answer
    x = 1,479,671,090,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.