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Finding the Third Proportional to 665,496 and 997,920

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Solution

The third proportional to 665,496 and 997,920 is: 1,496,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,496 : 997,920 = 997,920 : x
  2. Step 2: Convert to fraction form
    665,496/997,920 = 997,920/x
  3. Step 3: Cross multiply
    665,496x = 997,920 × 997,920
  4. Step 4: Simplify right side
    665,496x = 995,844,326,400
  5. Step 5: Solve for x
    x = 995,844,326,400/665,496
  6. Step 6: Final answer
    x = 1,496,394.16

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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.