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Finding the Third Proportional to 402,640.88 and 876,133.13

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Solution

The third proportional to 402,640.88 and 876,133.13 is: 1,906,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,640.88 : 876,133.13 = 876,133.13 : x
  2. Step 2: Convert to fraction form
    402,640.88/876,133.13 = 876,133.13/x
  3. Step 3: Cross multiply
    402,640.88x = 876,133.13 × 876,133.13
  4. Step 4: Simplify right side
    402,640.88x = 767,609,252,722.27
  5. Step 5: Solve for x
    x = 767,609,252,722.27/402,640.88
  6. Step 6: Final answer
    x = 1,906,436.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.