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Finding the Third Proportional to 320,877 and 493,254

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Solution

The third proportional to 320,877 and 493,254 is: 758,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,877 : 493,254 = 493,254 : x
  2. Step 2: Convert to fraction form
    320,877/493,254 = 493,254/x
  3. Step 3: Cross multiply
    320,877x = 493,254 × 493,254
  4. Step 4: Simplify right side
    320,877x = 243,299,508,516
  5. Step 5: Solve for x
    x = 243,299,508,516/320,877
  6. Step 6: Final answer
    x = 758,232.93

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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.