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Finding the Third Proportional to 103,320 and 154,980

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Solution

The third proportional to 103,320 and 154,980 is: 232,470

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,320 : 154,980 = 154,980 : x
  2. Step 2: Convert to fraction form
    103,320/154,980 = 154,980/x
  3. Step 3: Cross multiply
    103,320x = 154,980 × 154,980
  4. Step 4: Simplify right side
    103,320x = 24,018,800,400
  5. Step 5: Solve for x
    x = 24,018,800,400/103,320
  6. Step 6: Final answer
    x = 232,470

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.