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Finding the Third Proportional to 664,932 and 997,140

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Solution

The third proportional to 664,932 and 997,140 is: 1,495,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,932 : 997,140 = 997,140 : x
  2. Step 2: Convert to fraction form
    664,932/997,140 = 997,140/x
  3. Step 3: Cross multiply
    664,932x = 997,140 × 997,140
  4. Step 4: Simplify right side
    664,932x = 994,288,179,600
  5. Step 5: Solve for x
    x = 994,288,179,600/664,932
  6. Step 6: Final answer
    x = 1,495,323.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.