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Finding the Third Proportional to 379,720 and 808,520

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Solution

The third proportional to 379,720 and 808,520 is: 1,721,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,720 : 808,520 = 808,520 : x
  2. Step 2: Convert to fraction form
    379,720/808,520 = 808,520/x
  3. Step 3: Cross multiply
    379,720x = 808,520 × 808,520
  4. Step 4: Simplify right side
    379,720x = 653,704,590,400
  5. Step 5: Solve for x
    x = 653,704,590,400/379,720
  6. Step 6: Final answer
    x = 1,721,543.74

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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.