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Finding the Third Proportional to 128,280 and 296,934

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Solution

The third proportional to 128,280 and 296,934 is: 687,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,280 : 296,934 = 296,934 : x
  2. Step 2: Convert to fraction form
    128,280/296,934 = 296,934/x
  3. Step 3: Cross multiply
    128,280x = 296,934 × 296,934
  4. Step 4: Simplify right side
    128,280x = 88,169,800,356
  5. Step 5: Solve for x
    x = 88,169,800,356/128,280
  6. Step 6: Final answer
    x = 687,323.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.