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Finding the Third Proportional to 418,434 and 914,622

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Solution

The third proportional to 418,434 and 914,622 is: 1,999,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,434 : 914,622 = 914,622 : x
  2. Step 2: Convert to fraction form
    418,434/914,622 = 914,622/x
  3. Step 3: Cross multiply
    418,434x = 914,622 × 914,622
  4. Step 4: Simplify right side
    418,434x = 836,533,402,884
  5. Step 5: Solve for x
    x = 836,533,402,884/418,434
  6. Step 6: Final answer
    x = 1,999,200.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.