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Finding the Third Proportional to 287,812 and 435,732

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Solution

The third proportional to 287,812 and 435,732 is: 659,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,812 : 435,732 = 435,732 : x
  2. Step 2: Convert to fraction form
    287,812/435,732 = 435,732/x
  3. Step 3: Cross multiply
    287,812x = 435,732 × 435,732
  4. Step 4: Simplify right side
    287,812x = 189,862,375,824
  5. Step 5: Solve for x
    x = 189,862,375,824/287,812
  6. Step 6: Final answer
    x = 659,674.98

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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.