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Finding the Third Proportional to 296,891.25 and 640,438.13

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Solution

The third proportional to 296,891.25 and 640,438.13 is: 1,381,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,891.25 : 640,438.13 = 640,438.13 : x
  2. Step 2: Convert to fraction form
    296,891.25/640,438.13 = 640,438.13/x
  3. Step 3: Cross multiply
    296,891.25x = 640,438.13 × 640,438.13
  4. Step 4: Simplify right side
    296,891.25x = 410,160,991,953.52
  5. Step 5: Solve for x
    x = 410,160,991,953.52/296,891.25
  6. Step 6: Final answer
    x = 1,381,519.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.