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Finding the Third Proportional to 9,948 and 15,868.50

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Solution

The third proportional to 9,948 and 15,868.50 is: 25,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 15,868.50 = 15,868.50 : x
  2. Step 2: Convert to fraction form
    9,948/15,868.50 = 15,868.50/x
  3. Step 3: Cross multiply
    9,948x = 15,868.50 × 15,868.50
  4. Step 4: Simplify right side
    9,948x = 251,809,292.25
  5. Step 5: Solve for x
    x = 251,809,292.25/9,948
  6. Step 6: Final answer
    x = 25,312.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.