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Finding the Third Proportional to 39,478 and 85,709

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Solution

The third proportional to 39,478 and 85,709 is: 186,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,478 : 85,709 = 85,709 : x
  2. Step 2: Convert to fraction form
    39,478/85,709 = 85,709/x
  3. Step 3: Cross multiply
    39,478x = 85,709 × 85,709
  4. Step 4: Simplify right side
    39,478x = 7,346,032,681
  5. Step 5: Solve for x
    x = 7,346,032,681/39,478
  6. Step 6: Final answer
    x = 186,079.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.