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Finding the Third Proportional to 287,710 and 431,569

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Solution

The third proportional to 287,710 and 431,569 is: 647,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,710 : 431,569 = 431,569 : x
  2. Step 2: Convert to fraction form
    287,710/431,569 = 431,569/x
  3. Step 3: Cross multiply
    287,710x = 431,569 × 431,569
  4. Step 4: Simplify right side
    287,710x = 186,251,801,761
  5. Step 5: Solve for x
    x = 186,251,801,761/287,710
  6. Step 6: Final answer
    x = 647,359.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.