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Finding the Third Proportional to 173,117 and 258,983

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Solution

The third proportional to 173,117 and 258,983 is: 387,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,117 : 258,983 = 258,983 : x
  2. Step 2: Convert to fraction form
    173,117/258,983 = 258,983/x
  3. Step 3: Cross multiply
    173,117x = 258,983 × 258,983
  4. Step 4: Simplify right side
    173,117x = 67,072,194,289
  5. Step 5: Solve for x
    x = 67,072,194,289/173,117
  6. Step 6: Final answer
    x = 387,438.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.