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Finding the Third Proportional to 209,958 and 314,938

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Solution

The third proportional to 209,958 and 314,938 is: 472,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,958 : 314,938 = 314,938 : x
  2. Step 2: Convert to fraction form
    209,958/314,938 = 314,938/x
  3. Step 3: Cross multiply
    209,958x = 314,938 × 314,938
  4. Step 4: Simplify right side
    209,958x = 99,185,943,844
  5. Step 5: Solve for x
    x = 99,185,943,844/209,958
  6. Step 6: Final answer
    x = 472,408.50

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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.