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Finding the Third Proportional to 379,248 and 812,472

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Solution

The third proportional to 379,248 and 812,472 is: 1,740,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,248 : 812,472 = 812,472 : x
  2. Step 2: Convert to fraction form
    379,248/812,472 = 812,472/x
  3. Step 3: Cross multiply
    379,248x = 812,472 × 812,472
  4. Step 4: Simplify right side
    379,248x = 660,110,750,784
  5. Step 5: Solve for x
    x = 660,110,750,784/379,248
  6. Step 6: Final answer
    x = 1,740,578.07

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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.