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Finding the Third Proportional to 47,900 and 64,438

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Solution

The third proportional to 47,900 and 64,438 is: 86,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,900 : 64,438 = 64,438 : x
  2. Step 2: Convert to fraction form
    47,900/64,438 = 64,438/x
  3. Step 3: Cross multiply
    47,900x = 64,438 × 64,438
  4. Step 4: Simplify right side
    47,900x = 4,152,255,844
  5. Step 5: Solve for x
    x = 4,152,255,844/47,900
  6. Step 6: Final answer
    x = 86,685.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.