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Finding the Third Proportional to 415,000 and 906,464

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Solution

The third proportional to 415,000 and 906,464 is: 1,979,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,000 : 906,464 = 906,464 : x
  2. Step 2: Convert to fraction form
    415,000/906,464 = 906,464/x
  3. Step 3: Cross multiply
    415,000x = 906,464 × 906,464
  4. Step 4: Simplify right side
    415,000x = 821,676,983,296
  5. Step 5: Solve for x
    x = 821,676,983,296/415,000
  6. Step 6: Final answer
    x = 1,979,944.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.