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Finding the Third Proportional to 136,800 and 298,548

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Solution

The third proportional to 136,800 and 298,548 is: 651,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,800 : 298,548 = 298,548 : x
  2. Step 2: Convert to fraction form
    136,800/298,548 = 298,548/x
  3. Step 3: Cross multiply
    136,800x = 298,548 × 298,548
  4. Step 4: Simplify right side
    136,800x = 89,130,908,304
  5. Step 5: Solve for x
    x = 89,130,908,304/136,800
  6. Step 6: Final answer
    x = 651,541.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.