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Finding the Third Proportional to 207,364 and 311,838

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Solution

The third proportional to 207,364 and 311,838 is: 468,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 311,838 = 311,838 : x
  2. Step 2: Convert to fraction form
    207,364/311,838 = 311,838/x
  3. Step 3: Cross multiply
    207,364x = 311,838 × 311,838
  4. Step 4: Simplify right side
    207,364x = 97,242,938,244
  5. Step 5: Solve for x
    x = 97,242,938,244/207,364
  6. Step 6: Final answer
    x = 468,948.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.