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Finding the Third Proportional to 261,821 and 400,346

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Solution

The third proportional to 261,821 and 400,346 is: 612,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,821 : 400,346 = 400,346 : x
  2. Step 2: Convert to fraction form
    261,821/400,346 = 400,346/x
  3. Step 3: Cross multiply
    261,821x = 400,346 × 400,346
  4. Step 4: Simplify right side
    261,821x = 160,276,919,716
  5. Step 5: Solve for x
    x = 160,276,919,716/261,821
  6. Step 6: Final answer
    x = 612,162.20

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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.