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Finding the Third Proportional to 15,765 and 25,803

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Solution

The third proportional to 15,765 and 25,803 is: 42,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765 : 25,803 = 25,803 : x
  2. Step 2: Convert to fraction form
    15,765/25,803 = 25,803/x
  3. Step 3: Cross multiply
    15,765x = 25,803 × 25,803
  4. Step 4: Simplify right side
    15,765x = 665,794,809
  5. Step 5: Solve for x
    x = 665,794,809/15,765
  6. Step 6: Final answer
    x = 42,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.