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Finding the Third Proportional to 251,340 and 538,659

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Solution

The third proportional to 251,340 and 538,659 is: 1,154,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,340 : 538,659 = 538,659 : x
  2. Step 2: Convert to fraction form
    251,340/538,659 = 538,659/x
  3. Step 3: Cross multiply
    251,340x = 538,659 × 538,659
  4. Step 4: Simplify right side
    251,340x = 290,153,518,281
  5. Step 5: Solve for x
    x = 290,153,518,281/251,340
  6. Step 6: Final answer
    x = 1,154,426.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.