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Finding the Third Proportional to 66,175,078 and 145,412,352

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Solution

The third proportional to 66,175,078 and 145,412,352 is: 319,527,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175,078 : 145,412,352 = 145,412,352 : x
  2. Step 2: Convert to fraction form
    66,175,078/145,412,352 = 145,412,352/x
  3. Step 3: Cross multiply
    66,175,078x = 145,412,352 × 145,412,352
  4. Step 4: Simplify right side
    66,175,078x = 21,144,752,114,171,904
  5. Step 5: Solve for x
    x = 21,144,752,114,171,904/66,175,078
  6. Step 6: Final answer
    x = 319,527,422.61

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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.