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Finding the Third Proportional to 153,542 and 330,406

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Solution

The third proportional to 153,542 and 330,406 is: 710,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,542 : 330,406 = 330,406 : x
  2. Step 2: Convert to fraction form
    153,542/330,406 = 330,406/x
  3. Step 3: Cross multiply
    153,542x = 330,406 × 330,406
  4. Step 4: Simplify right side
    153,542x = 109,168,124,836
  5. Step 5: Solve for x
    x = 109,168,124,836/153,542
  6. Step 6: Final answer
    x = 710,998.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.