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Finding the Third Proportional to 155,527.50 and 326,719.50

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Solution

The third proportional to 155,527.50 and 326,719.50 is: 686,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.50 : 326,719.50 = 326,719.50 : x
  2. Step 2: Convert to fraction form
    155,527.50/326,719.50 = 326,719.50/x
  3. Step 3: Cross multiply
    155,527.50x = 326,719.50 × 326,719.50
  4. Step 4: Simplify right side
    155,527.50x = 106,745,631,680.25
  5. Step 5: Solve for x
    x = 106,745,631,680.25/155,527.50
  6. Step 6: Final answer
    x = 686,345.71

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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.