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Finding the Third Proportional to 177,312 and 379,536

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Solution

The third proportional to 177,312 and 379,536 is: 812,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,312 : 379,536 = 379,536 : x
  2. Step 2: Convert to fraction form
    177,312/379,536 = 379,536/x
  3. Step 3: Cross multiply
    177,312x = 379,536 × 379,536
  4. Step 4: Simplify right side
    177,312x = 144,047,575,296
  5. Step 5: Solve for x
    x = 144,047,575,296/177,312
  6. Step 6: Final answer
    x = 812,396.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.