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Finding the Third Proportional to 445,266 and 688,643

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Solution

The third proportional to 445,266 and 688,643 is: 1,065,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,266 : 688,643 = 688,643 : x
  2. Step 2: Convert to fraction form
    445,266/688,643 = 688,643/x
  3. Step 3: Cross multiply
    445,266x = 688,643 × 688,643
  4. Step 4: Simplify right side
    445,266x = 474,229,181,449
  5. Step 5: Solve for x
    x = 474,229,181,449/445,266
  6. Step 6: Final answer
    x = 1,065,046.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.