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Finding the Third Proportional to 357,022.69 and 779,149.13

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Solution

The third proportional to 357,022.69 and 779,149.13 is: 1,700,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,022.69 : 779,149.13 = 779,149.13 : x
  2. Step 2: Convert to fraction form
    357,022.69/779,149.13 = 779,149.13/x
  3. Step 3: Cross multiply
    357,022.69x = 779,149.13 × 779,149.13
  4. Step 4: Simplify right side
    357,022.69x = 607,073,358,988.27
  5. Step 5: Solve for x
    x = 607,073,358,988.27/357,022.69
  6. Step 6: Final answer
    x = 1,700,377.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.