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Finding the Third Proportional to 322,409 and 508,346

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Solution

The third proportional to 322,409 and 508,346 is: 801,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409 : 508,346 = 508,346 : x
  2. Step 2: Convert to fraction form
    322,409/508,346 = 508,346/x
  3. Step 3: Cross multiply
    322,409x = 508,346 × 508,346
  4. Step 4: Simplify right side
    322,409x = 258,415,655,716
  5. Step 5: Solve for x
    x = 258,415,655,716/322,409
  6. Step 6: Final answer
    x = 801,515.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.