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Finding the Third Proportional to 78,585.75 and 160,803

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Solution

The third proportional to 78,585.75 and 160,803 is: 329,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.75 : 160,803 = 160,803 : x
  2. Step 2: Convert to fraction form
    78,585.75/160,803 = 160,803/x
  3. Step 3: Cross multiply
    78,585.75x = 160,803 × 160,803
  4. Step 4: Simplify right side
    78,585.75x = 25,857,604,809
  5. Step 5: Solve for x
    x = 25,857,604,809/78,585.75
  6. Step 6: Final answer
    x = 329,036.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.