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Finding the Third Proportional to 66,175,076 and 145,412,348

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Solution

The third proportional to 66,175,076 and 145,412,348 is: 319,527,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175,076 : 145,412,348 = 145,412,348 : x
  2. Step 2: Convert to fraction form
    66,175,076/145,412,348 = 145,412,348/x
  3. Step 3: Cross multiply
    66,175,076x = 145,412,348 × 145,412,348
  4. Step 4: Simplify right side
    66,175,076x = 21,144,750,950,873,104
  5. Step 5: Solve for x
    x = 21,144,750,950,873,104/66,175,076
  6. Step 6: Final answer
    x = 319,527,414.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.