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Finding the Third Proportional to 39,680 and 63,798

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Solution

The third proportional to 39,680 and 63,798 is: 102,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,680 : 63,798 = 63,798 : x
  2. Step 2: Convert to fraction form
    39,680/63,798 = 63,798/x
  3. Step 3: Cross multiply
    39,680x = 63,798 × 63,798
  4. Step 4: Simplify right side
    39,680x = 4,070,184,804
  5. Step 5: Solve for x
    x = 4,070,184,804/39,680
  6. Step 6: Final answer
    x = 102,575.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.