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Finding the Third Proportional to 47,780 and 74,134

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Solution

The third proportional to 47,780 and 74,134 is: 115,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,780 : 74,134 = 74,134 : x
  2. Step 2: Convert to fraction form
    47,780/74,134 = 74,134/x
  3. Step 3: Cross multiply
    47,780x = 74,134 × 74,134
  4. Step 4: Simplify right side
    47,780x = 5,495,849,956
  5. Step 5: Solve for x
    x = 5,495,849,956/47,780
  6. Step 6: Final answer
    x = 115,024.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.