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Finding the Third Proportional to 221,440 and 458,640

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Solution

The third proportional to 221,440 and 458,640 is: 949,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,440 : 458,640 = 458,640 : x
  2. Step 2: Convert to fraction form
    221,440/458,640 = 458,640/x
  3. Step 3: Cross multiply
    221,440x = 458,640 × 458,640
  4. Step 4: Simplify right side
    221,440x = 210,350,649,600
  5. Step 5: Solve for x
    x = 210,350,649,600/221,440
  6. Step 6: Final answer
    x = 949,921.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.