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Finding the Third Proportional to 423,808 and 660,744

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Solution

The third proportional to 423,808 and 660,744 is: 1,030,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,808 : 660,744 = 660,744 : x
  2. Step 2: Convert to fraction form
    423,808/660,744 = 660,744/x
  3. Step 3: Cross multiply
    423,808x = 660,744 × 660,744
  4. Step 4: Simplify right side
    423,808x = 436,582,633,536
  5. Step 5: Solve for x
    x = 436,582,633,536/423,808
  6. Step 6: Final answer
    x = 1,030,142.50

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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.