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Finding the Third Proportional to 419,691 and 899,265

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Solution

The third proportional to 419,691 and 899,265 is: 1,926,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,691 : 899,265 = 899,265 : x
  2. Step 2: Convert to fraction form
    419,691/899,265 = 899,265/x
  3. Step 3: Cross multiply
    419,691x = 899,265 × 899,265
  4. Step 4: Simplify right side
    419,691x = 808,677,540,225
  5. Step 5: Solve for x
    x = 808,677,540,225/419,691
  6. Step 6: Final answer
    x = 1,926,840.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.