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Finding the Third Proportional to 126,228 and 272,130

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Solution

The third proportional to 126,228 and 272,130 is: 586,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,228 : 272,130 = 272,130 : x
  2. Step 2: Convert to fraction form
    126,228/272,130 = 272,130/x
  3. Step 3: Cross multiply
    126,228x = 272,130 × 272,130
  4. Step 4: Simplify right side
    126,228x = 74,054,736,900
  5. Step 5: Solve for x
    x = 74,054,736,900/126,228
  6. Step 6: Final answer
    x = 586,674.41

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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.