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Finding the Third Proportional to 252,734.50 and 551,780.50

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Solution

The third proportional to 252,734.50 and 551,780.50 is: 1,204,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,734.50 : 551,780.50 = 551,780.50 : x
  2. Step 2: Convert to fraction form
    252,734.50/551,780.50 = 551,780.50/x
  3. Step 3: Cross multiply
    252,734.50x = 551,780.50 × 551,780.50
  4. Step 4: Simplify right side
    252,734.50x = 304,461,720,180.25
  5. Step 5: Solve for x
    x = 304,461,720,180.25/252,734.50
  6. Step 6: Final answer
    x = 1,204,670.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.