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Finding the Third Proportional to 31,290 and 47,709

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Solution

The third proportional to 31,290 and 47,709 is: 72,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290 : 47,709 = 47,709 : x
  2. Step 2: Convert to fraction form
    31,290/47,709 = 47,709/x
  3. Step 3: Cross multiply
    31,290x = 47,709 × 47,709
  4. Step 4: Simplify right side
    31,290x = 2,276,148,681
  5. Step 5: Solve for x
    x = 2,276,148,681/31,290
  6. Step 6: Final answer
    x = 72,743.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.