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Finding the Third Proportional to 240,381 and 348,178.50

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Solution

The third proportional to 240,381 and 348,178.50 is: 504,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,381 : 348,178.50 = 348,178.50 : x
  2. Step 2: Convert to fraction form
    240,381/348,178.50 = 348,178.50/x
  3. Step 3: Cross multiply
    240,381x = 348,178.50 × 348,178.50
  4. Step 4: Simplify right side
    240,381x = 121,228,267,862.25
  5. Step 5: Solve for x
    x = 121,228,267,862.25/240,381
  6. Step 6: Final answer
    x = 504,317.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.