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Finding the Third Proportional to 31,560 and 47,124

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Solution

The third proportional to 31,560 and 47,124 is: 70,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560 : 47,124 = 47,124 : x
  2. Step 2: Convert to fraction form
    31,560/47,124 = 47,124/x
  3. Step 3: Cross multiply
    31,560x = 47,124 × 47,124
  4. Step 4: Simplify right side
    31,560x = 2,220,671,376
  5. Step 5: Solve for x
    x = 2,220,671,376/31,560
  6. Step 6: Final answer
    x = 70,363.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.