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Finding the Third Proportional to 379,721 and 808,522

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Solution

The third proportional to 379,721 and 808,522 is: 1,721,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,721 : 808,522 = 808,522 : x
  2. Step 2: Convert to fraction form
    379,721/808,522 = 808,522/x
  3. Step 3: Cross multiply
    379,721x = 808,522 × 808,522
  4. Step 4: Simplify right side
    379,721x = 653,707,824,484
  5. Step 5: Solve for x
    x = 653,707,824,484/379,721
  6. Step 6: Final answer
    x = 1,721,547.73

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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.