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Finding the Third Proportional to 288,716 and 643,048

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Solution

The third proportional to 288,716 and 643,048 is: 1,432,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716 : 643,048 = 643,048 : x
  2. Step 2: Convert to fraction form
    288,716/643,048 = 643,048/x
  3. Step 3: Cross multiply
    288,716x = 643,048 × 643,048
  4. Step 4: Simplify right side
    288,716x = 413,510,730,304
  5. Step 5: Solve for x
    x = 413,510,730,304/288,716
  6. Step 6: Final answer
    x = 1,432,240.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.