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Finding the Third Proportional to 429,869 and 664,973

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Solution

The third proportional to 429,869 and 664,973 is: 1,028,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,869 : 664,973 = 664,973 : x
  2. Step 2: Convert to fraction form
    429,869/664,973 = 664,973/x
  3. Step 3: Cross multiply
    429,869x = 664,973 × 664,973
  4. Step 4: Simplify right side
    429,869x = 442,189,090,729
  5. Step 5: Solve for x
    x = 442,189,090,729/429,869
  6. Step 6: Final answer
    x = 1,028,660.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.