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Finding the Third Proportional to 247,834.69 and 517,038.19

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Solution

The third proportional to 247,834.69 and 517,038.19 is: 1,078,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,834.69 : 517,038.19 = 517,038.19 : x
  2. Step 2: Convert to fraction form
    247,834.69/517,038.19 = 517,038.19/x
  3. Step 3: Cross multiply
    247,834.69x = 517,038.19 × 517,038.19
  4. Step 4: Simplify right side
    247,834.69x = 267,328,487,333.29
  5. Step 5: Solve for x
    x = 267,328,487,333.29/247,834.69
  6. Step 6: Final answer
    x = 1,078,656.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.