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Finding the Third Proportional to 287,680 and 435,508

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Solution

The third proportional to 287,680 and 435,508 is: 659,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,680 : 435,508 = 435,508 : x
  2. Step 2: Convert to fraction form
    287,680/435,508 = 435,508/x
  3. Step 3: Cross multiply
    287,680x = 435,508 × 435,508
  4. Step 4: Simplify right side
    287,680x = 189,667,218,064
  5. Step 5: Solve for x
    x = 189,667,218,064/287,680
  6. Step 6: Final answer
    x = 659,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.