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Finding the Third Proportional to 171,585 and 258,727.50

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Solution

The third proportional to 171,585 and 258,727.50 is: 390,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,585 : 258,727.50 = 258,727.50 : x
  2. Step 2: Convert to fraction form
    171,585/258,727.50 = 258,727.50/x
  3. Step 3: Cross multiply
    171,585x = 258,727.50 × 258,727.50
  4. Step 4: Simplify right side
    171,585x = 66,939,919,256.25
  5. Step 5: Solve for x
    x = 66,939,919,256.25/171,585
  6. Step 6: Final answer
    x = 390,126.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.