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Finding the Third Proportional to 430,542 and 663,981

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Solution

The third proportional to 430,542 and 663,981 is: 1,023,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,542 : 663,981 = 663,981 : x
  2. Step 2: Convert to fraction form
    430,542/663,981 = 663,981/x
  3. Step 3: Cross multiply
    430,542x = 663,981 × 663,981
  4. Step 4: Simplify right side
    430,542x = 440,870,768,361
  5. Step 5: Solve for x
    x = 440,870,768,361/430,542
  6. Step 6: Final answer
    x = 1,023,990.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.