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Finding the Third Proportional to 531,716 and 817,285

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Solution

The third proportional to 531,716 and 817,285 is: 1,256,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,716 : 817,285 = 817,285 : x
  2. Step 2: Convert to fraction form
    531,716/817,285 = 817,285/x
  3. Step 3: Cross multiply
    531,716x = 817,285 × 817,285
  4. Step 4: Simplify right side
    531,716x = 667,954,771,225
  5. Step 5: Solve for x
    x = 667,954,771,225/531,716
  6. Step 6: Final answer
    x = 1,256,224.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.