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Finding the Third Proportional to 220,128 and 341,720

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Solution

The third proportional to 220,128 and 341,720 is: 530,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,128 : 341,720 = 341,720 : x
  2. Step 2: Convert to fraction form
    220,128/341,720 = 341,720/x
  3. Step 3: Cross multiply
    220,128x = 341,720 × 341,720
  4. Step 4: Simplify right side
    220,128x = 116,772,558,400
  5. Step 5: Solve for x
    x = 116,772,558,400/220,128
  6. Step 6: Final answer
    x = 530,475.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.