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Finding the Third Proportional to 275,280 and 423,254.25

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Solution

The third proportional to 275,280 and 423,254.25 is: 650,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 423,254.25 = 423,254.25 : x
  2. Step 2: Convert to fraction form
    275,280/423,254.25 = 423,254.25/x
  3. Step 3: Cross multiply
    275,280x = 423,254.25 × 423,254.25
  4. Step 4: Simplify right side
    275,280x = 179,144,160,143.06
  5. Step 5: Solve for x
    x = 179,144,160,143.06/275,280
  6. Step 6: Final answer
    x = 650,770.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.