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Finding the Third Proportional to 221,856.33 and 317,257.17

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Solution

The third proportional to 221,856.33 and 317,257.17 is: 453,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,856.33 : 317,257.17 = 317,257.17 : x
  2. Step 2: Convert to fraction form
    221,856.33/317,257.17 = 317,257.17/x
  3. Step 3: Cross multiply
    221,856.33x = 317,257.17 × 317,257.17
  4. Step 4: Simplify right side
    221,856.33x = 100,652,113,106.12
  5. Step 5: Solve for x
    x = 100,652,113,106.12/221,856.33
  6. Step 6: Final answer
    x = 453,681.51

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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.