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Finding the Third Proportional to 257,718.38 and 533,115

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Solution

The third proportional to 257,718.38 and 533,115 is: 1,102,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,718.38 : 533,115 = 533,115 : x
  2. Step 2: Convert to fraction form
    257,718.38/533,115 = 533,115/x
  3. Step 3: Cross multiply
    257,718.38x = 533,115 × 533,115
  4. Step 4: Simplify right side
    257,718.38x = 284,211,603,225
  5. Step 5: Solve for x
    x = 284,211,603,225/257,718.38
  6. Step 6: Final answer
    x = 1,102,799.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.