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Finding the Third Proportional to 145,440 and 220,128

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Solution

The third proportional to 145,440 and 220,128 is: 333,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,440 : 220,128 = 220,128 : x
  2. Step 2: Convert to fraction form
    145,440/220,128 = 220,128/x
  3. Step 3: Cross multiply
    145,440x = 220,128 × 220,128
  4. Step 4: Simplify right side
    145,440x = 48,456,336,384
  5. Step 5: Solve for x
    x = 48,456,336,384/145,440
  6. Step 6: Final answer
    x = 333,170.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.