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Finding the Third Proportional to 126,345 and 272,274

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Solution

The third proportional to 126,345 and 272,274 is: 586,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,345 : 272,274 = 272,274 : x
  2. Step 2: Convert to fraction form
    126,345/272,274 = 272,274/x
  3. Step 3: Cross multiply
    126,345x = 272,274 × 272,274
  4. Step 4: Simplify right side
    126,345x = 74,133,131,076
  5. Step 5: Solve for x
    x = 74,133,131,076/126,345
  6. Step 6: Final answer
    x = 586,751.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.