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Finding the Third Proportional to 533,218 and 817,646

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Solution

The third proportional to 533,218 and 817,646 is: 1,253,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,218 : 817,646 = 817,646 : x
  2. Step 2: Convert to fraction form
    533,218/817,646 = 817,646/x
  3. Step 3: Cross multiply
    533,218x = 817,646 × 817,646
  4. Step 4: Simplify right side
    533,218x = 668,544,981,316
  5. Step 5: Solve for x
    x = 668,544,981,316/533,218
  6. Step 6: Final answer
    x = 1,253,792.97

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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.