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Finding the Third Proportional to 218,744 and 312,803

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Solution

The third proportional to 218,744 and 312,803 is: 447,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,744 : 312,803 = 312,803 : x
  2. Step 2: Convert to fraction form
    218,744/312,803 = 312,803/x
  3. Step 3: Cross multiply
    218,744x = 312,803 × 312,803
  4. Step 4: Simplify right side
    218,744x = 97,845,716,809
  5. Step 5: Solve for x
    x = 97,845,716,809/218,744
  6. Step 6: Final answer
    x = 447,306.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.