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Finding the Third Proportional to 71,775,725 and 157,447,647

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Solution

The third proportional to 71,775,725 and 157,447,647 is: 345,378,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775,725 : 157,447,647 = 157,447,647 : x
  2. Step 2: Convert to fraction form
    71,775,725/157,447,647 = 157,447,647/x
  3. Step 3: Cross multiply
    71,775,725x = 157,447,647 × 157,447,647
  4. Step 4: Simplify right side
    71,775,725x = 24,789,761,545,836,608
  5. Step 5: Solve for x
    x = 24,789,761,545,836,608/71,775,725
  6. Step 6: Final answer
    x = 345,378,072.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.