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Finding the Third Proportional to 173,118.25 and 258,985.50

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Solution

The third proportional to 173,118.25 and 258,985.50 is: 387,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,118.25 : 258,985.50 = 258,985.50 : x
  2. Step 2: Convert to fraction form
    173,118.25/258,985.50 = 258,985.50/x
  3. Step 3: Cross multiply
    173,118.25x = 258,985.50 × 258,985.50
  4. Step 4: Simplify right side
    173,118.25x = 67,073,489,210.25
  5. Step 5: Solve for x
    x = 67,073,489,210.25/173,118.25
  6. Step 6: Final answer
    x = 387,443.20

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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.