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Finding the Third Proportional to 120,152 and 247,920

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Solution

The third proportional to 120,152 and 247,920 is: 511,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152 : 247,920 = 247,920 : x
  2. Step 2: Convert to fraction form
    120,152/247,920 = 247,920/x
  3. Step 3: Cross multiply
    120,152x = 247,920 × 247,920
  4. Step 4: Simplify right side
    120,152x = 61,464,326,400
  5. Step 5: Solve for x
    x = 61,464,326,400/120,152
  6. Step 6: Final answer
    x = 511,554.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.