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Finding the Third Proportional to 317,151.75 and 665,442.38

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Solution

The third proportional to 317,151.75 and 665,442.38 is: 1,396,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,151.75 : 665,442.38 = 665,442.38 : x
  2. Step 2: Convert to fraction form
    317,151.75/665,442.38 = 665,442.38/x
  3. Step 3: Cross multiply
    317,151.75x = 665,442.38 × 665,442.38
  4. Step 4: Simplify right side
    317,151.75x = 442,813,554,445.64
  5. Step 5: Solve for x
    x = 442,813,554,445.64/317,151.75
  6. Step 6: Final answer
    x = 1,396,219.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.