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Finding the Third Proportional to 71,365 and 156,854

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Solution

The third proportional to 71,365 and 156,854 is: 344,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,365 : 156,854 = 156,854 : x
  2. Step 2: Convert to fraction form
    71,365/156,854 = 156,854/x
  3. Step 3: Cross multiply
    71,365x = 156,854 × 156,854
  4. Step 4: Simplify right side
    71,365x = 24,603,177,316
  5. Step 5: Solve for x
    x = 24,603,177,316/71,365
  6. Step 6: Final answer
    x = 344,751.31

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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.