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Finding the Third Proportional to 287,717 and 435,574

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Solution

The third proportional to 287,717 and 435,574 is: 659,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,717 : 435,574 = 435,574 : x
  2. Step 2: Convert to fraction form
    287,717/435,574 = 435,574/x
  3. Step 3: Cross multiply
    287,717x = 435,574 × 435,574
  4. Step 4: Simplify right side
    287,717x = 189,724,709,476
  5. Step 5: Solve for x
    x = 189,724,709,476/287,717
  6. Step 6: Final answer
    x = 659,414.32

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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.