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Finding the Third Proportional to 709 and 808

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Solution

The third proportional to 709 and 808 is: 920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 808 = 808 : x
  2. Step 2: Convert to fraction form
    709/808 = 808/x
  3. Step 3: Cross multiply
    709x = 808 × 808
  4. Step 4: Simplify right side
    709x = 652,864
  5. Step 5: Solve for x
    x = 652,864/709
  6. Step 6: Final answer
    x = 920.82

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.