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Finding the Third Proportional to 127,746 and 268,721

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Solution

The third proportional to 127,746 and 268,721 is: 565,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746 : 268,721 = 268,721 : x
  2. Step 2: Convert to fraction form
    127,746/268,721 = 268,721/x
  3. Step 3: Cross multiply
    127,746x = 268,721 × 268,721
  4. Step 4: Simplify right side
    127,746x = 72,210,975,841
  5. Step 5: Solve for x
    x = 72,210,975,841/127,746
  6. Step 6: Final answer
    x = 565,269.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.