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Finding the Third Proportional to 309,139,288 and 666,704,768

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Solution

The third proportional to 309,139,288 and 666,704,768 is: 1,437,847,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,288 : 666,704,768 = 666,704,768 : x
  2. Step 2: Convert to fraction form
    309,139,288/666,704,768 = 666,704,768/x
  3. Step 3: Cross multiply
    309,139,288x = 666,704,768 × 666,704,768
  4. Step 4: Simplify right side
    309,139,288x = 444,495,247,673,933,824
  5. Step 5: Solve for x
    x = 444,495,247,673,933,824/309,139,288
  6. Step 6: Final answer
    x = 1,437,847,808.18

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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.