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Finding the Third Proportional to 66,175,064 and 145,412,328

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Solution

The third proportional to 66,175,064 and 145,412,328 is: 319,527,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175,064 : 145,412,328 = 145,412,328 : x
  2. Step 2: Convert to fraction form
    66,175,064/145,412,328 = 145,412,328/x
  3. Step 3: Cross multiply
    66,175,064x = 145,412,328 × 145,412,328
  4. Step 4: Simplify right side
    66,175,064x = 21,144,745,134,379,584
  5. Step 5: Solve for x
    x = 21,144,745,134,379,584/66,175,064
  6. Step 6: Final answer
    x = 319,527,384.73

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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.