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Finding the Third Proportional to 77,565 and 160,890

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Solution

The third proportional to 77,565 and 160,890 is: 333,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,565 : 160,890 = 160,890 : x
  2. Step 2: Convert to fraction form
    77,565/160,890 = 160,890/x
  3. Step 3: Cross multiply
    77,565x = 160,890 × 160,890
  4. Step 4: Simplify right side
    77,565x = 25,885,592,100
  5. Step 5: Solve for x
    x = 25,885,592,100/77,565
  6. Step 6: Final answer
    x = 333,727.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.