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Finding the Third Proportional to 10,509.75 and 19,662.75

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Solution

The third proportional to 10,509.75 and 19,662.75 is: 36,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 19,662.75 = 19,662.75 : x
  2. Step 2: Convert to fraction form
    10,509.75/19,662.75 = 19,662.75/x
  3. Step 3: Cross multiply
    10,509.75x = 19,662.75 × 19,662.75
  4. Step 4: Simplify right side
    10,509.75x = 386,623,737.56
  5. Step 5: Solve for x
    x = 386,623,737.56/10,509.75
  6. Step 6: Final answer
    x = 36,787.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.