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Finding the Third Proportional to 531,728 and 817,308

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Solution

The third proportional to 531,728 and 817,308 is: 1,256,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,728 : 817,308 = 817,308 : x
  2. Step 2: Convert to fraction form
    531,728/817,308 = 817,308/x
  3. Step 3: Cross multiply
    531,728x = 817,308 × 817,308
  4. Step 4: Simplify right side
    531,728x = 667,992,366,864
  5. Step 5: Solve for x
    x = 667,992,366,864/531,728
  6. Step 6: Final answer
    x = 1,256,267.05

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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.