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Finding the Third Proportional to 312,762 and 517,669.50

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Solution

The third proportional to 312,762 and 517,669.50 is: 856,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,762 : 517,669.50 = 517,669.50 : x
  2. Step 2: Convert to fraction form
    312,762/517,669.50 = 517,669.50/x
  3. Step 3: Cross multiply
    312,762x = 517,669.50 × 517,669.50
  4. Step 4: Simplify right side
    312,762x = 267,981,711,230.25
  5. Step 5: Solve for x
    x = 267,981,711,230.25/312,762
  6. Step 6: Final answer
    x = 856,823.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.