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Finding the Third Proportional to 299,988 and 465,108

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Solution

The third proportional to 299,988 and 465,108 is: 721,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,988 : 465,108 = 465,108 : x
  2. Step 2: Convert to fraction form
    299,988/465,108 = 465,108/x
  3. Step 3: Cross multiply
    299,988x = 465,108 × 465,108
  4. Step 4: Simplify right side
    299,988x = 216,325,451,664
  5. Step 5: Solve for x
    x = 216,325,451,664/299,988
  6. Step 6: Final answer
    x = 721,113.68

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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.