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Finding the Third Proportional to 431,514.84 and 676,918.27

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Solution

The third proportional to 431,514.84 and 676,918.27 is: 1,061,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,514.84 : 676,918.27 = 676,918.27 : x
  2. Step 2: Convert to fraction form
    431,514.84/676,918.27 = 676,918.27/x
  3. Step 3: Cross multiply
    431,514.84x = 676,918.27 × 676,918.27
  4. Step 4: Simplify right side
    431,514.84x = 458,218,338,336.76
  5. Step 5: Solve for x
    x = 458,218,338,336.76/431,514.84
  6. Step 6: Final answer
    x = 1,061,883.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.