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Finding the Third Proportional to 208,230 and 314,908

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Solution

The third proportional to 208,230 and 314,908 is: 476,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230 : 314,908 = 314,908 : x
  2. Step 2: Convert to fraction form
    208,230/314,908 = 314,908/x
  3. Step 3: Cross multiply
    208,230x = 314,908 × 314,908
  4. Step 4: Simplify right side
    208,230x = 99,167,048,464
  5. Step 5: Solve for x
    x = 99,167,048,464/208,230
  6. Step 6: Final answer
    x = 476,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.