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Finding the Third Proportional to 602,154 and 820,170.56

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Solution

The third proportional to 602,154 and 820,170.56 is: 1,117,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,154 : 820,170.56 = 820,170.56 : x
  2. Step 2: Convert to fraction form
    602,154/820,170.56 = 820,170.56/x
  3. Step 3: Cross multiply
    602,154x = 820,170.56 × 820,170.56
  4. Step 4: Simplify right side
    602,154x = 672,679,751,591.57
  5. Step 5: Solve for x
    x = 672,679,751,591.57/602,154
  6. Step 6: Final answer
    x = 1,117,122.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.