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Finding the Third Proportional to 39,657 and 58,389

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Solution

The third proportional to 39,657 and 58,389 is: 85,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,657 : 58,389 = 58,389 : x
  2. Step 2: Convert to fraction form
    39,657/58,389 = 58,389/x
  3. Step 3: Cross multiply
    39,657x = 58,389 × 58,389
  4. Step 4: Simplify right side
    39,657x = 3,409,275,321
  5. Step 5: Solve for x
    x = 3,409,275,321/39,657
  6. Step 6: Final answer
    x = 85,969.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.