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Finding the Third Proportional to 31,564 and 47,130

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Solution

The third proportional to 31,564 and 47,130 is: 70,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564 : 47,130 = 47,130 : x
  2. Step 2: Convert to fraction form
    31,564/47,130 = 47,130/x
  3. Step 3: Cross multiply
    31,564x = 47,130 × 47,130
  4. Step 4: Simplify right side
    31,564x = 2,221,236,900
  5. Step 5: Solve for x
    x = 2,221,236,900/31,564
  6. Step 6: Final answer
    x = 70,372.48

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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.