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Finding the Third Proportional to 441,732 and 688,842

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Solution

The third proportional to 441,732 and 688,842 is: 1,074,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,732 : 688,842 = 688,842 : x
  2. Step 2: Convert to fraction form
    441,732/688,842 = 688,842/x
  3. Step 3: Cross multiply
    441,732x = 688,842 × 688,842
  4. Step 4: Simplify right side
    441,732x = 474,503,300,964
  5. Step 5: Solve for x
    x = 474,503,300,964/441,732
  6. Step 6: Final answer
    x = 1,074,188.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.