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Finding the Third Proportional to 115,730 and 251,953

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Solution

The third proportional to 115,730 and 251,953 is: 548,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,730 : 251,953 = 251,953 : x
  2. Step 2: Convert to fraction form
    115,730/251,953 = 251,953/x
  3. Step 3: Cross multiply
    115,730x = 251,953 × 251,953
  4. Step 4: Simplify right side
    115,730x = 63,480,314,209
  5. Step 5: Solve for x
    x = 63,480,314,209/115,730
  6. Step 6: Final answer
    x = 548,520.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.