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Finding the Third Proportional to 127,818 and 268,483

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Solution

The third proportional to 127,818 and 268,483 is: 563,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,818 : 268,483 = 268,483 : x
  2. Step 2: Convert to fraction form
    127,818/268,483 = 268,483/x
  3. Step 3: Cross multiply
    127,818x = 268,483 × 268,483
  4. Step 4: Simplify right side
    127,818x = 72,083,121,289
  5. Step 5: Solve for x
    x = 72,083,121,289/127,818
  6. Step 6: Final answer
    x = 563,951.25

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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.