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Finding the Third Proportional to 200,258 and 307,923

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Solution

The third proportional to 200,258 and 307,923 is: 473,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,258 : 307,923 = 307,923 : x
  2. Step 2: Convert to fraction form
    200,258/307,923 = 307,923/x
  3. Step 3: Cross multiply
    200,258x = 307,923 × 307,923
  4. Step 4: Simplify right side
    200,258x = 94,816,573,929
  5. Step 5: Solve for x
    x = 94,816,573,929/200,258
  6. Step 6: Final answer
    x = 473,472.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.