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Finding the Third Proportional to 435,425.63 and 672,823.13

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Solution

The third proportional to 435,425.63 and 672,823.13 is: 1,039,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,425.63 : 672,823.13 = 672,823.13 : x
  2. Step 2: Convert to fraction form
    435,425.63/672,823.13 = 672,823.13/x
  3. Step 3: Cross multiply
    435,425.63x = 672,823.13 × 672,823.13
  4. Step 4: Simplify right side
    435,425.63x = 452,690,957,534.77
  5. Step 5: Solve for x
    x = 452,690,957,534.77/435,425.63
  6. Step 6: Final answer
    x = 1,039,651.62

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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.