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Finding the Third Proportional to 261,264 and 553,344

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Solution

The third proportional to 261,264 and 553,344 is: 1,171,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,264 : 553,344 = 553,344 : x
  2. Step 2: Convert to fraction form
    261,264/553,344 = 553,344/x
  3. Step 3: Cross multiply
    261,264x = 553,344 × 553,344
  4. Step 4: Simplify right side
    261,264x = 306,189,582,336
  5. Step 5: Solve for x
    x = 306,189,582,336/261,264
  6. Step 6: Final answer
    x = 1,171,954.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.