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Finding the Third Proportional to 531,710 and 817,276

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Solution

The third proportional to 531,710 and 817,276 is: 1,256,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,710 : 817,276 = 817,276 : x
  2. Step 2: Convert to fraction form
    531,710/817,276 = 817,276/x
  3. Step 3: Cross multiply
    531,710x = 817,276 × 817,276
  4. Step 4: Simplify right side
    531,710x = 667,940,060,176
  5. Step 5: Solve for x
    x = 667,940,060,176/531,710
  6. Step 6: Final answer
    x = 1,256,211.21

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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.