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Finding the Third Proportional to 177,748 and 385,015

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Solution

The third proportional to 177,748 and 385,015 is: 833,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,748 : 385,015 = 385,015 : x
  2. Step 2: Convert to fraction form
    177,748/385,015 = 385,015/x
  3. Step 3: Cross multiply
    177,748x = 385,015 × 385,015
  4. Step 4: Simplify right side
    177,748x = 148,236,550,225
  5. Step 5: Solve for x
    x = 148,236,550,225/177,748
  6. Step 6: Final answer
    x = 833,970.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.