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Finding the Third Proportional to 66,025,442 and 144,805,474

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Solution

The third proportional to 66,025,442 and 144,805,474 is: 317,584,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,442 : 144,805,474 = 144,805,474 : x
  2. Step 2: Convert to fraction form
    66,025,442/144,805,474 = 144,805,474/x
  3. Step 3: Cross multiply
    66,025,442x = 144,805,474 × 144,805,474
  4. Step 4: Simplify right side
    66,025,442x = 20,968,625,300,364,676
  5. Step 5: Solve for x
    x = 20,968,625,300,364,676/66,025,442
  6. Step 6: Final answer
    x = 317,584,020.12

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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.