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Finding the Third Proportional to 286,556,837 and 613,980,640

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Solution

The third proportional to 286,556,837 and 613,980,640 is: 1,315,523,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,556,837 : 613,980,640 = 613,980,640 : x
  2. Step 2: Convert to fraction form
    286,556,837/613,980,640 = 613,980,640/x
  3. Step 3: Cross multiply
    286,556,837x = 613,980,640 × 613,980,640
  4. Step 4: Simplify right side
    286,556,837x = 376,972,226,294,809,600
  5. Step 5: Solve for x
    x = 376,972,226,294,809,600/286,556,837
  6. Step 6: Final answer
    x = 1,315,523,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.