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Finding the Third Proportional to 144,744.50 and 314,246

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Solution

The third proportional to 144,744.50 and 314,246 is: 682,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,744.50 : 314,246 = 314,246 : x
  2. Step 2: Convert to fraction form
    144,744.50/314,246 = 314,246/x
  3. Step 3: Cross multiply
    144,744.50x = 314,246 × 314,246
  4. Step 4: Simplify right side
    144,744.50x = 98,750,548,516
  5. Step 5: Solve for x
    x = 98,750,548,516/144,744.50
  6. Step 6: Final answer
    x = 682,240.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.