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Finding the Third Proportional to 529,651 and 810,372

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Solution

The third proportional to 529,651 and 810,372 is: 1,239,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,651 : 810,372 = 810,372 : x
  2. Step 2: Convert to fraction form
    529,651/810,372 = 810,372/x
  3. Step 3: Cross multiply
    529,651x = 810,372 × 810,372
  4. Step 4: Simplify right side
    529,651x = 656,702,778,384
  5. Step 5: Solve for x
    x = 656,702,778,384/529,651
  6. Step 6: Final answer
    x = 1,239,878.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.