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Finding the Third Proportional to 171,513 and 251,118

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Solution

The third proportional to 171,513 and 251,118 is: 367,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,513 : 251,118 = 251,118 : x
  2. Step 2: Convert to fraction form
    171,513/251,118 = 251,118/x
  3. Step 3: Cross multiply
    171,513x = 251,118 × 251,118
  4. Step 4: Simplify right side
    171,513x = 63,060,249,924
  5. Step 5: Solve for x
    x = 63,060,249,924/171,513
  6. Step 6: Final answer
    x = 367,670.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.