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Finding the Third Proportional to 413,859 and 907,206

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Solution

The third proportional to 413,859 and 907,206 is: 1,988,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,859 : 907,206 = 907,206 : x
  2. Step 2: Convert to fraction form
    413,859/907,206 = 907,206/x
  3. Step 3: Cross multiply
    413,859x = 907,206 × 907,206
  4. Step 4: Simplify right side
    413,859x = 823,022,726,436
  5. Step 5: Solve for x
    x = 823,022,726,436/413,859
  6. Step 6: Final answer
    x = 1,988,654.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.