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Finding the Third Proportional to 288,479 and 632,314

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Solution

The third proportional to 288,479 and 632,314 is: 1,385,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,479 : 632,314 = 632,314 : x
  2. Step 2: Convert to fraction form
    288,479/632,314 = 632,314/x
  3. Step 3: Cross multiply
    288,479x = 632,314 × 632,314
  4. Step 4: Simplify right side
    288,479x = 399,820,994,596
  5. Step 5: Solve for x
    x = 399,820,994,596/288,479
  6. Step 6: Final answer
    x = 1,385,962.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.