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Finding the Third Proportional to 66,419,262 and 144,128,484

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Solution

The third proportional to 66,419,262 and 144,128,484 is: 312,755,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419,262 : 144,128,484 = 144,128,484 : x
  2. Step 2: Convert to fraction form
    66,419,262/144,128,484 = 144,128,484/x
  3. Step 3: Cross multiply
    66,419,262x = 144,128,484 × 144,128,484
  4. Step 4: Simplify right side
    66,419,262x = 20,773,019,900,138,256
  5. Step 5: Solve for x
    x = 20,773,019,900,138,256/66,419,262
  6. Step 6: Final answer
    x = 312,755,957.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.