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Finding the Third Proportional to 320,866 and 493,237

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Solution

The third proportional to 320,866 and 493,237 is: 758,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,866 : 493,237 = 493,237 : x
  2. Step 2: Convert to fraction form
    320,866/493,237 = 493,237/x
  3. Step 3: Cross multiply
    320,866x = 493,237 × 493,237
  4. Step 4: Simplify right side
    320,866x = 243,282,738,169
  5. Step 5: Solve for x
    x = 243,282,738,169/320,866
  6. Step 6: Final answer
    x = 758,206.66

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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.