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Finding the Third Proportional to 427,377.66 and 914,047.31

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Solution

The third proportional to 427,377.66 and 914,047.31 is: 1,954,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,377.66 : 914,047.31 = 914,047.31 : x
  2. Step 2: Convert to fraction form
    427,377.66/914,047.31 = 914,047.31/x
  3. Step 3: Cross multiply
    427,377.66x = 914,047.31 × 914,047.31
  4. Step 4: Simplify right side
    427,377.66x = 835,482,489,488.47
  5. Step 5: Solve for x
    x = 835,482,489,488.47/427,377.66
  6. Step 6: Final answer
    x = 1,954,904.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.