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Finding the Third Proportional to 152,948 and 330,496

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Solution

The third proportional to 152,948 and 330,496 is: 714,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,948 : 330,496 = 330,496 : x
  2. Step 2: Convert to fraction form
    152,948/330,496 = 330,496/x
  3. Step 3: Cross multiply
    152,948x = 330,496 × 330,496
  4. Step 4: Simplify right side
    152,948x = 109,227,606,016
  5. Step 5: Solve for x
    x = 109,227,606,016/152,948
  6. Step 6: Final answer
    x = 714,148.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.