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Finding the Third Proportional to 66,175,060 and 145,412,320

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Solution

The third proportional to 66,175,060 and 145,412,320 is: 319,527,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175,060 : 145,412,320 = 145,412,320 : x
  2. Step 2: Convert to fraction form
    66,175,060/145,412,320 = 145,412,320/x
  3. Step 3: Cross multiply
    66,175,060x = 145,412,320 × 145,412,320
  4. Step 4: Simplify right side
    66,175,060x = 21,144,742,807,782,400
  5. Step 5: Solve for x
    x = 21,144,742,807,782,400/66,175,060
  6. Step 6: Final answer
    x = 319,527,368.89

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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.