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Finding the Third Proportional to 521,476 and 743,838

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Solution

The third proportional to 521,476 and 743,838 is: 1,061,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,476 : 743,838 = 743,838 : x
  2. Step 2: Convert to fraction form
    521,476/743,838 = 743,838/x
  3. Step 3: Cross multiply
    521,476x = 743,838 × 743,838
  4. Step 4: Simplify right side
    521,476x = 553,294,970,244
  5. Step 5: Solve for x
    x = 553,294,970,244/521,476
  6. Step 6: Final answer
    x = 1,061,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.