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Finding the Third Proportional to 61,560 and 83,565

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Solution

The third proportional to 61,560 and 83,565 is: 113,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,560 : 83,565 = 83,565 : x
  2. Step 2: Convert to fraction form
    61,560/83,565 = 83,565/x
  3. Step 3: Cross multiply
    61,560x = 83,565 × 83,565
  4. Step 4: Simplify right side
    61,560x = 6,983,109,225
  5. Step 5: Solve for x
    x = 6,983,109,225/61,560
  6. Step 6: Final answer
    x = 113,435.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.