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Finding the Third Proportional to 272,678 and 418,574

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Solution

The third proportional to 272,678 and 418,574 is: 642,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,678 : 418,574 = 418,574 : x
  2. Step 2: Convert to fraction form
    272,678/418,574 = 418,574/x
  3. Step 3: Cross multiply
    272,678x = 418,574 × 418,574
  4. Step 4: Simplify right side
    272,678x = 175,204,193,476
  5. Step 5: Solve for x
    x = 175,204,193,476/272,678
  6. Step 6: Final answer
    x = 642,531.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.