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Finding the Third Proportional to 203,418 and 314,973

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Solution

The third proportional to 203,418 and 314,973 is: 487,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,418 : 314,973 = 314,973 : x
  2. Step 2: Convert to fraction form
    203,418/314,973 = 314,973/x
  3. Step 3: Cross multiply
    203,418x = 314,973 × 314,973
  4. Step 4: Simplify right side
    203,418x = 99,207,990,729
  5. Step 5: Solve for x
    x = 99,207,990,729/203,418
  6. Step 6: Final answer
    x = 487,705.07

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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.