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Finding the Third Proportional to 287,566 and 435,378

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Solution

The third proportional to 287,566 and 435,378 is: 659,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,566 : 435,378 = 435,378 : x
  2. Step 2: Convert to fraction form
    287,566/435,378 = 435,378/x
  3. Step 3: Cross multiply
    287,566x = 435,378 × 435,378
  4. Step 4: Simplify right side
    287,566x = 189,554,002,884
  5. Step 5: Solve for x
    x = 189,554,002,884/287,566
  6. Step 6: Final answer
    x = 659,166.95

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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.