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Finding the Third Proportional to 47,810 and 71,391

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Solution

The third proportional to 47,810 and 71,391 is: 106,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810 : 71,391 = 71,391 : x
  2. Step 2: Convert to fraction form
    47,810/71,391 = 71,391/x
  3. Step 3: Cross multiply
    47,810x = 71,391 × 71,391
  4. Step 4: Simplify right side
    47,810x = 5,096,674,881
  5. Step 5: Solve for x
    x = 5,096,674,881/47,810
  6. Step 6: Final answer
    x = 106,602.70

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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.