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Finding the Third Proportional to 31,587 and 67,953

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Solution

The third proportional to 31,587 and 67,953 is: 146,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587 : 67,953 = 67,953 : x
  2. Step 2: Convert to fraction form
    31,587/67,953 = 67,953/x
  3. Step 3: Cross multiply
    31,587x = 67,953 × 67,953
  4. Step 4: Simplify right side
    31,587x = 4,617,610,209
  5. Step 5: Solve for x
    x = 4,617,610,209/31,587
  6. Step 6: Final answer
    x = 146,187.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.