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Finding the Third Proportional to 7,650 and 15,459.75

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Solution

The third proportional to 7,650 and 15,459.75 is: 31,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650 : 15,459.75 = 15,459.75 : x
  2. Step 2: Convert to fraction form
    7,650/15,459.75 = 15,459.75/x
  3. Step 3: Cross multiply
    7,650x = 15,459.75 × 15,459.75
  4. Step 4: Simplify right side
    7,650x = 239,003,870.06
  5. Step 5: Solve for x
    x = 239,003,870.06/7,650
  6. Step 6: Final answer
    x = 31,242.34

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.