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Finding the Third Proportional to 177,140 and 385,384

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Solution

The third proportional to 177,140 and 385,384 is: 838,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,140 : 385,384 = 385,384 : x
  2. Step 2: Convert to fraction form
    177,140/385,384 = 385,384/x
  3. Step 3: Cross multiply
    177,140x = 385,384 × 385,384
  4. Step 4: Simplify right side
    177,140x = 148,520,827,456
  5. Step 5: Solve for x
    x = 148,520,827,456/177,140
  6. Step 6: Final answer
    x = 838,437.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.