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Finding the Third Proportional to 506,422 and 801,915

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Solution

The third proportional to 506,422 and 801,915 is: 1,269,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,422 : 801,915 = 801,915 : x
  2. Step 2: Convert to fraction form
    506,422/801,915 = 801,915/x
  3. Step 3: Cross multiply
    506,422x = 801,915 × 801,915
  4. Step 4: Simplify right side
    506,422x = 643,067,667,225
  5. Step 5: Solve for x
    x = 643,067,667,225/506,422
  6. Step 6: Final answer
    x = 1,269,825.69

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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.