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Finding the Third Proportional to 379,715 and 808,510

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Solution

The third proportional to 379,715 and 808,510 is: 1,721,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,715 : 808,510 = 808,510 : x
  2. Step 2: Convert to fraction form
    379,715/808,510 = 808,510/x
  3. Step 3: Cross multiply
    379,715x = 808,510 × 808,510
  4. Step 4: Simplify right side
    379,715x = 653,688,420,100
  5. Step 5: Solve for x
    x = 653,688,420,100/379,715
  6. Step 6: Final answer
    x = 1,721,523.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.