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Finding the Third Proportional to 218,394 and 293,473

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Solution

The third proportional to 218,394 and 293,473 is: 394,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,394 : 293,473 = 293,473 : x
  2. Step 2: Convert to fraction form
    218,394/293,473 = 293,473/x
  3. Step 3: Cross multiply
    218,394x = 293,473 × 293,473
  4. Step 4: Simplify right side
    218,394x = 86,126,401,729
  5. Step 5: Solve for x
    x = 86,126,401,729/218,394
  6. Step 6: Final answer
    x = 394,362.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.