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Finding the Third Proportional to 31,657 and 68,587

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Solution

The third proportional to 31,657 and 68,587 is: 148,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657 : 68,587 = 68,587 : x
  2. Step 2: Convert to fraction form
    31,657/68,587 = 68,587/x
  3. Step 3: Cross multiply
    31,657x = 68,587 × 68,587
  4. Step 4: Simplify right side
    31,657x = 4,704,176,569
  5. Step 5: Solve for x
    x = 4,704,176,569/31,657
  6. Step 6: Final answer
    x = 148,598.31

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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.