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Finding the Third Proportional to 257,856.75 and 563,632.75

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Solution

The third proportional to 257,856.75 and 563,632.75 is: 1,232,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.75 : 563,632.75 = 563,632.75 : x
  2. Step 2: Convert to fraction form
    257,856.75/563,632.75 = 563,632.75/x
  3. Step 3: Cross multiply
    257,856.75x = 563,632.75 × 563,632.75
  4. Step 4: Simplify right side
    257,856.75x = 317,681,876,872.56
  5. Step 5: Solve for x
    x = 317,681,876,872.56/257,856.75
  6. Step 6: Final answer
    x = 1,232,009.16

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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.