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Finding the Third Proportional to 256,684 and 563,120

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Solution

The third proportional to 256,684 and 563,120 is: 1,235,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684 : 563,120 = 563,120 : x
  2. Step 2: Convert to fraction form
    256,684/563,120 = 563,120/x
  3. Step 3: Cross multiply
    256,684x = 563,120 × 563,120
  4. Step 4: Simplify right side
    256,684x = 317,104,134,400
  5. Step 5: Solve for x
    x = 317,104,134,400/256,684
  6. Step 6: Final answer
    x = 1,235,387.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.