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Finding the Third Proportional to 140,719.50 and 287,169.75

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Solution

The third proportional to 140,719.50 and 287,169.75 is: 586,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,719.50 : 287,169.75 = 287,169.75 : x
  2. Step 2: Convert to fraction form
    140,719.50/287,169.75 = 287,169.75/x
  3. Step 3: Cross multiply
    140,719.50x = 287,169.75 × 287,169.75
  4. Step 4: Simplify right side
    140,719.50x = 82,466,465,315.06
  5. Step 5: Solve for x
    x = 82,466,465,315.06/140,719.50
  6. Step 6: Final answer
    x = 586,034.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.