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Finding the Third Proportional to 120,730 and 271,124

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Solution

The third proportional to 120,730 and 271,124 is: 608,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,730 : 271,124 = 271,124 : x
  2. Step 2: Convert to fraction form
    120,730/271,124 = 271,124/x
  3. Step 3: Cross multiply
    120,730x = 271,124 × 271,124
  4. Step 4: Simplify right side
    120,730x = 73,508,223,376
  5. Step 5: Solve for x
    x = 73,508,223,376/120,730
  6. Step 6: Final answer
    x = 608,864.60

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.