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Finding the Third Proportional to 310,906.50 and 679,809

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Solution

The third proportional to 310,906.50 and 679,809 is: 1,486,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,906.50 : 679,809 = 679,809 : x
  2. Step 2: Convert to fraction form
    310,906.50/679,809 = 679,809/x
  3. Step 3: Cross multiply
    310,906.50x = 679,809 × 679,809
  4. Step 4: Simplify right side
    310,906.50x = 462,140,276,481
  5. Step 5: Solve for x
    x = 462,140,276,481/310,906.50
  6. Step 6: Final answer
    x = 1,486,428.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.