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Finding the Third Proportional to 417,007.13 and 910,479.38

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Solution

The third proportional to 417,007.13 and 910,479.38 is: 1,987,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,007.13 : 910,479.38 = 910,479.38 : x
  2. Step 2: Convert to fraction form
    417,007.13/910,479.38 = 910,479.38/x
  3. Step 3: Cross multiply
    417,007.13x = 910,479.38 × 910,479.38
  4. Step 4: Simplify right side
    417,007.13x = 828,972,692,300.39
  5. Step 5: Solve for x
    x = 828,972,692,300.39/417,007.13
  6. Step 6: Final answer
    x = 1,987,910.14

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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.