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Finding the Third Proportional to 218,734 and 312,789

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Solution

The third proportional to 218,734 and 312,789 is: 447,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,734 : 312,789 = 312,789 : x
  2. Step 2: Convert to fraction form
    218,734/312,789 = 312,789/x
  3. Step 3: Cross multiply
    218,734x = 312,789 × 312,789
  4. Step 4: Simplify right side
    218,734x = 97,836,958,521
  5. Step 5: Solve for x
    x = 97,836,958,521/218,734
  6. Step 6: Final answer
    x = 447,287.38

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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.