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Finding the Third Proportional to 120,347 and 180,264

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Solution

The third proportional to 120,347 and 180,264 is: 270,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,347 : 180,264 = 180,264 : x
  2. Step 2: Convert to fraction form
    120,347/180,264 = 180,264/x
  3. Step 3: Cross multiply
    120,347x = 180,264 × 180,264
  4. Step 4: Simplify right side
    120,347x = 32,495,109,696
  5. Step 5: Solve for x
    x = 32,495,109,696/120,347
  6. Step 6: Final answer
    x = 270,011.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.