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Finding the Third Proportional to 64,657 and 100,349

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Solution

The third proportional to 64,657 and 100,349 is: 155,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,657 : 100,349 = 100,349 : x
  2. Step 2: Convert to fraction form
    64,657/100,349 = 100,349/x
  3. Step 3: Cross multiply
    64,657x = 100,349 × 100,349
  4. Step 4: Simplify right side
    64,657x = 10,069,921,801
  5. Step 5: Solve for x
    x = 10,069,921,801/64,657
  6. Step 6: Final answer
    x = 155,743.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.