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Finding the Third Proportional to 152,478 and 334,394

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Solution

The third proportional to 152,478 and 334,394 is: 733,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,478 : 334,394 = 334,394 : x
  2. Step 2: Convert to fraction form
    152,478/334,394 = 334,394/x
  3. Step 3: Cross multiply
    152,478x = 334,394 × 334,394
  4. Step 4: Simplify right side
    152,478x = 111,819,347,236
  5. Step 5: Solve for x
    x = 111,819,347,236/152,478
  6. Step 6: Final answer
    x = 733,347.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.