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Finding the Third Proportional to 31,670 and 47,715

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Solution

The third proportional to 31,670 and 47,715 is: 71,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670 : 47,715 = 47,715 : x
  2. Step 2: Convert to fraction form
    31,670/47,715 = 47,715/x
  3. Step 3: Cross multiply
    31,670x = 47,715 × 47,715
  4. Step 4: Simplify right side
    31,670x = 2,276,721,225
  5. Step 5: Solve for x
    x = 2,276,721,225/31,670
  6. Step 6: Final answer
    x = 71,888.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.