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Finding the Third Proportional to 30,700,387.13 and 67,169,169

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Solution

The third proportional to 30,700,387.13 and 67,169,169 is: 146,958,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700,387.13 : 67,169,169 = 67,169,169 : x
  2. Step 2: Convert to fraction form
    30,700,387.13/67,169,169 = 67,169,169/x
  3. Step 3: Cross multiply
    30,700,387.13x = 67,169,169 × 67,169,169
  4. Step 4: Simplify right side
    30,700,387.13x = 4,511,697,264,150,561
  5. Step 5: Solve for x
    x = 4,511,697,264,150,561/30,700,387.13
  6. Step 6: Final answer
    x = 146,958,969.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.