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Finding the Third Proportional to 243,325 and 520,277

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Solution

The third proportional to 243,325 and 520,277 is: 1,112,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,325 : 520,277 = 520,277 : x
  2. Step 2: Convert to fraction form
    243,325/520,277 = 520,277/x
  3. Step 3: Cross multiply
    243,325x = 520,277 × 520,277
  4. Step 4: Simplify right side
    243,325x = 270,688,156,729
  5. Step 5: Solve for x
    x = 270,688,156,729/243,325
  6. Step 6: Final answer
    x = 1,112,455.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.