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Finding the Third Proportional to 274,842.49 and 420,437.46

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Solution

The third proportional to 274,842.49 and 420,437.46 is: 643,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,842.49 : 420,437.46 = 420,437.46 : x
  2. Step 2: Convert to fraction form
    274,842.49/420,437.46 = 420,437.46/x
  3. Step 3: Cross multiply
    274,842.49x = 420,437.46 × 420,437.46
  4. Step 4: Simplify right side
    274,842.49x = 176,767,658,559.57
  5. Step 5: Solve for x
    x = 176,767,658,559.57/274,842.49
  6. Step 6: Final answer
    x = 643,159.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.