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Finding the Third Proportional to 331,719 and 499,968

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Solution

The third proportional to 331,719 and 499,968 is: 753,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,719 : 499,968 = 499,968 : x
  2. Step 2: Convert to fraction form
    331,719/499,968 = 499,968/x
  3. Step 3: Cross multiply
    331,719x = 499,968 × 499,968
  4. Step 4: Simplify right side
    331,719x = 249,968,001,024
  5. Step 5: Solve for x
    x = 249,968,001,024/331,719
  6. Step 6: Final answer
    x = 753,553.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.