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Finding the Third Proportional to 97,464 and 142,737

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Solution

The third proportional to 97,464 and 142,737 is: 209,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,464 : 142,737 = 142,737 : x
  2. Step 2: Convert to fraction form
    97,464/142,737 = 142,737/x
  3. Step 3: Cross multiply
    97,464x = 142,737 × 142,737
  4. Step 4: Simplify right side
    97,464x = 20,373,851,169
  5. Step 5: Solve for x
    x = 20,373,851,169/97,464
  6. Step 6: Final answer
    x = 209,039.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.