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Finding the Third Proportional to 173,118.94 and 258,985.69

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Solution

The third proportional to 173,118.94 and 258,985.69 is: 387,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,118.94 : 258,985.69 = 258,985.69 : x
  2. Step 2: Convert to fraction form
    173,118.94/258,985.69 = 258,985.69/x
  3. Step 3: Cross multiply
    173,118.94x = 258,985.69 × 258,985.69
  4. Step 4: Simplify right side
    173,118.94x = 67,073,586,329.85
  5. Step 5: Solve for x
    x = 67,073,586,329.85/173,118.94
  6. Step 6: Final answer
    x = 387,442.22

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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.