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Finding the Third Proportional to 31,218 and 67,737.75

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Solution

The third proportional to 31,218 and 67,737.75 is: 146,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218 : 67,737.75 = 67,737.75 : x
  2. Step 2: Convert to fraction form
    31,218/67,737.75 = 67,737.75/x
  3. Step 3: Cross multiply
    31,218x = 67,737.75 × 67,737.75
  4. Step 4: Simplify right side
    31,218x = 4,588,402,775.06
  5. Step 5: Solve for x
    x = 4,588,402,775.06/31,218
  6. Step 6: Final answer
    x = 146,979.40

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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.