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Finding the Third Proportional to 177,808 and 275,136

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Solution

The third proportional to 177,808 and 275,136 is: 425,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,808 : 275,136 = 275,136 : x
  2. Step 2: Convert to fraction form
    177,808/275,136 = 275,136/x
  3. Step 3: Cross multiply
    177,808x = 275,136 × 275,136
  4. Step 4: Simplify right side
    177,808x = 75,699,818,496
  5. Step 5: Solve for x
    x = 75,699,818,496/177,808
  6. Step 6: Final answer
    x = 425,739.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.