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Finding the Third Proportional to 257,586.75 and 553,261.50

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Solution

The third proportional to 257,586.75 and 553,261.50 is: 1,188,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,586.75 : 553,261.50 = 553,261.50 : x
  2. Step 2: Convert to fraction form
    257,586.75/553,261.50 = 553,261.50/x
  3. Step 3: Cross multiply
    257,586.75x = 553,261.50 × 553,261.50
  4. Step 4: Simplify right side
    257,586.75x = 306,098,287,382.25
  5. Step 5: Solve for x
    x = 306,098,287,382.25/257,586.75
  6. Step 6: Final answer
    x = 1,188,330.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.