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Finding the Third Proportional to 173,117.50 and 258,983.50

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Solution

The third proportional to 173,117.50 and 258,983.50 is: 387,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,117.50 : 258,983.50 = 258,983.50 : x
  2. Step 2: Convert to fraction form
    173,117.50/258,983.50 = 258,983.50/x
  3. Step 3: Cross multiply
    173,117.50x = 258,983.50 × 258,983.50
  4. Step 4: Simplify right side
    173,117.50x = 67,072,453,272.25
  5. Step 5: Solve for x
    x = 67,072,453,272.25/173,117.50
  6. Step 6: Final answer
    x = 387,438.90

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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.