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Finding the Third Proportional to 379,888 and 812,480

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Solution

The third proportional to 379,888 and 812,480 is: 1,737,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,888 : 812,480 = 812,480 : x
  2. Step 2: Convert to fraction form
    379,888/812,480 = 812,480/x
  3. Step 3: Cross multiply
    379,888x = 812,480 × 812,480
  4. Step 4: Simplify right side
    379,888x = 660,123,750,400
  5. Step 5: Solve for x
    x = 660,123,750,400/379,888
  6. Step 6: Final answer
    x = 1,737,679.92

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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.