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Finding the Third Proportional to 218,840.50 and 312,938

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Solution

The third proportional to 218,840.50 and 312,938 is: 447,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,840.50 : 312,938 = 312,938 : x
  2. Step 2: Convert to fraction form
    218,840.50/312,938 = 312,938/x
  3. Step 3: Cross multiply
    218,840.50x = 312,938 × 312,938
  4. Step 4: Simplify right side
    218,840.50x = 97,930,191,844
  5. Step 5: Solve for x
    x = 97,930,191,844/218,840.50
  6. Step 6: Final answer
    x = 447,495.74

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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.