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Finding the Third Proportional to 309,156 and 491,785

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Solution

The third proportional to 309,156 and 491,785 is: 782,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,156 : 491,785 = 491,785 : x
  2. Step 2: Convert to fraction form
    309,156/491,785 = 491,785/x
  3. Step 3: Cross multiply
    309,156x = 491,785 × 491,785
  4. Step 4: Simplify right side
    309,156x = 241,852,486,225
  5. Step 5: Solve for x
    x = 241,852,486,225/309,156
  6. Step 6: Final answer
    x = 782,299.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.