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Finding the Third Proportional to 418,339.69 and 906,230.53

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Solution

The third proportional to 418,339.69 and 906,230.53 is: 1,963,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,339.69 : 906,230.53 = 906,230.53 : x
  2. Step 2: Convert to fraction form
    418,339.69/906,230.53 = 906,230.53/x
  3. Step 3: Cross multiply
    418,339.69x = 906,230.53 × 906,230.53
  4. Step 4: Simplify right side
    418,339.69x = 821,253,775,769.66
  5. Step 5: Solve for x
    x = 821,253,775,769.66/418,339.69
  6. Step 6: Final answer
    x = 1,963,126.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.