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Finding the Third Proportional to 338,734.50 and 525,119.50

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Solution

The third proportional to 338,734.50 and 525,119.50 is: 814,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,734.50 : 525,119.50 = 525,119.50 : x
  2. Step 2: Convert to fraction form
    338,734.50/525,119.50 = 525,119.50/x
  3. Step 3: Cross multiply
    338,734.50x = 525,119.50 × 525,119.50
  4. Step 4: Simplify right side
    338,734.50x = 275,750,489,280.25
  5. Step 5: Solve for x
    x = 275,750,489,280.25/338,734.50
  6. Step 6: Final answer
    x = 814,060.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.