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Finding the Third Proportional to 423,618.75 and 660,436.88

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Solution

The third proportional to 423,618.75 and 660,436.88 is: 1,029,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,618.75 : 660,436.88 = 660,436.88 : x
  2. Step 2: Convert to fraction form
    423,618.75/660,436.88 = 660,436.88/x
  3. Step 3: Cross multiply
    423,618.75x = 660,436.88 × 660,436.88
  4. Step 4: Simplify right side
    423,618.75x = 436,176,865,859.77
  5. Step 5: Solve for x
    x = 436,176,865,859.77/423,618.75
  6. Step 6: Final answer
    x = 1,029,644.85

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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.