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Finding the Third Proportional to 438,274.13 and 685,104.75

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Solution

The third proportional to 438,274.13 and 685,104.75 is: 1,070,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,274.13 : 685,104.75 = 685,104.75 : x
  2. Step 2: Convert to fraction form
    438,274.13/685,104.75 = 685,104.75/x
  3. Step 3: Cross multiply
    438,274.13x = 685,104.75 × 685,104.75
  4. Step 4: Simplify right side
    438,274.13x = 469,368,518,472.56
  5. Step 5: Solve for x
    x = 469,368,518,472.56/438,274.13
  6. Step 6: Final answer
    x = 1,070,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.