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Finding the Third Proportional to 256,716 and 563,184

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Solution

The third proportional to 256,716 and 563,184 is: 1,235,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,716 : 563,184 = 563,184 : x
  2. Step 2: Convert to fraction form
    256,716/563,184 = 563,184/x
  3. Step 3: Cross multiply
    256,716x = 563,184 × 563,184
  4. Step 4: Simplify right side
    256,716x = 317,176,217,856
  5. Step 5: Solve for x
    x = 317,176,217,856/256,716
  6. Step 6: Final answer
    x = 1,235,514.02

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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.