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Finding the Third Proportional to 153,566 and 232,496

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Solution

The third proportional to 153,566 and 232,496 is: 351,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,566 : 232,496 = 232,496 : x
  2. Step 2: Convert to fraction form
    153,566/232,496 = 232,496/x
  3. Step 3: Cross multiply
    153,566x = 232,496 × 232,496
  4. Step 4: Simplify right side
    153,566x = 54,054,390,016
  5. Step 5: Solve for x
    x = 54,054,390,016/153,566
  6. Step 6: Final answer
    x = 351,994.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.