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Finding the Third Proportional to 136,424 and 298,128

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Solution

The third proportional to 136,424 and 298,128 is: 651,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,424 : 298,128 = 298,128 : x
  2. Step 2: Convert to fraction form
    136,424/298,128 = 298,128/x
  3. Step 3: Cross multiply
    136,424x = 298,128 × 298,128
  4. Step 4: Simplify right side
    136,424x = 88,880,304,384
  5. Step 5: Solve for x
    x = 88,880,304,384/136,424
  6. Step 6: Final answer
    x = 651,500.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.