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Finding the Third Proportional to 203,458 and 314,767

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Solution

The third proportional to 203,458 and 314,767 is: 486,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,458 : 314,767 = 314,767 : x
  2. Step 2: Convert to fraction form
    203,458/314,767 = 314,767/x
  3. Step 3: Cross multiply
    203,458x = 314,767 × 314,767
  4. Step 4: Simplify right side
    203,458x = 99,078,264,289
  5. Step 5: Solve for x
    x = 99,078,264,289/203,458
  6. Step 6: Final answer
    x = 486,971.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.