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Finding the Third Proportional to 418,384 and 909,296

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Solution

The third proportional to 418,384 and 909,296 is: 1,976,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,384 : 909,296 = 909,296 : x
  2. Step 2: Convert to fraction form
    418,384/909,296 = 909,296/x
  3. Step 3: Cross multiply
    418,384x = 909,296 × 909,296
  4. Step 4: Simplify right side
    418,384x = 826,819,215,616
  5. Step 5: Solve for x
    x = 826,819,215,616/418,384
  6. Step 6: Final answer
    x = 1,976,220.93

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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.