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Finding the Third Proportional to 155,970 and 330,534

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Solution

The third proportional to 155,970 and 330,534 is: 700,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,970 : 330,534 = 330,534 : x
  2. Step 2: Convert to fraction form
    155,970/330,534 = 330,534/x
  3. Step 3: Cross multiply
    155,970x = 330,534 × 330,534
  4. Step 4: Simplify right side
    155,970x = 109,252,725,156
  5. Step 5: Solve for x
    x = 109,252,725,156/155,970
  6. Step 6: Final answer
    x = 700,472.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.