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Finding the Third Proportional to 136,128 and 288,420

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Solution

The third proportional to 136,128 and 288,420 is: 611,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,128 : 288,420 = 288,420 : x
  2. Step 2: Convert to fraction form
    136,128/288,420 = 288,420/x
  3. Step 3: Cross multiply
    136,128x = 288,420 × 288,420
  4. Step 4: Simplify right side
    136,128x = 83,186,096,400
  5. Step 5: Solve for x
    x = 83,186,096,400/136,128
  6. Step 6: Final answer
    x = 611,087.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.