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Finding the Third Proportional to 423,468 and 908,328

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Solution

The third proportional to 423,468 and 908,328 is: 1,948,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,468 : 908,328 = 908,328 : x
  2. Step 2: Convert to fraction form
    423,468/908,328 = 908,328/x
  3. Step 3: Cross multiply
    423,468x = 908,328 × 908,328
  4. Step 4: Simplify right side
    423,468x = 825,059,755,584
  5. Step 5: Solve for x
    x = 825,059,755,584/423,468
  6. Step 6: Final answer
    x = 1,948,340.27

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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.