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Finding the Third Proportional to 287,822 and 431,768

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Solution

The third proportional to 287,822 and 431,768 is: 647,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,822 : 431,768 = 431,768 : x
  2. Step 2: Convert to fraction form
    287,822/431,768 = 431,768/x
  3. Step 3: Cross multiply
    287,822x = 431,768 × 431,768
  4. Step 4: Simplify right side
    287,822x = 186,423,605,824
  5. Step 5: Solve for x
    x = 186,423,605,824/287,822
  6. Step 6: Final answer
    x = 647,704.50

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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.