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Finding the Third Proportional to 39,697 and 61,440

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Solution

The third proportional to 39,697 and 61,440 is: 95,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,697 : 61,440 = 61,440 : x
  2. Step 2: Convert to fraction form
    39,697/61,440 = 61,440/x
  3. Step 3: Cross multiply
    39,697x = 61,440 × 61,440
  4. Step 4: Simplify right side
    39,697x = 3,774,873,600
  5. Step 5: Solve for x
    x = 3,774,873,600/39,697
  6. Step 6: Final answer
    x = 95,092.16

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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.