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Finding the Third Proportional to 221,856.05 and 317,256.75

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Solution

The third proportional to 221,856.05 and 317,256.75 is: 453,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,856.05 : 317,256.75 = 317,256.75 : x
  2. Step 2: Convert to fraction form
    221,856.05/317,256.75 = 317,256.75/x
  3. Step 3: Cross multiply
    221,856.05x = 317,256.75 × 317,256.75
  4. Step 4: Simplify right side
    221,856.05x = 100,651,845,420.56
  5. Step 5: Solve for x
    x = 100,651,845,420.56/221,856.05
  6. Step 6: Final answer
    x = 453,680.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.