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Finding the Third Proportional to 9,935.50 and 15,490

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Solution

The third proportional to 9,935.50 and 15,490 is: 24,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.50 : 15,490 = 15,490 : x
  2. Step 2: Convert to fraction form
    9,935.50/15,490 = 15,490/x
  3. Step 3: Cross multiply
    9,935.50x = 15,490 × 15,490
  4. Step 4: Simplify right side
    9,935.50x = 239,940,100
  5. Step 5: Solve for x
    x = 239,940,100/9,935.50
  6. Step 6: Final answer
    x = 24,149.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.