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Finding the Third Proportional to 275,696.79 and 421,655.31

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Solution

The third proportional to 275,696.79 and 421,655.31 is: 644,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,696.79 : 421,655.31 = 421,655.31 : x
  2. Step 2: Convert to fraction form
    275,696.79/421,655.31 = 421,655.31/x
  3. Step 3: Cross multiply
    275,696.79x = 421,655.31 × 421,655.31
  4. Step 4: Simplify right side
    275,696.79x = 177,793,199,265.29
  5. Step 5: Solve for x
    x = 177,793,199,265.29/275,696.79
  6. Step 6: Final answer
    x = 644,886.72

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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.