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Finding the Third Proportional to 321,331.50 and 706,365

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Solution

The third proportional to 321,331.50 and 706,365 is: 1,552,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,331.50 : 706,365 = 706,365 : x
  2. Step 2: Convert to fraction form
    321,331.50/706,365 = 706,365/x
  3. Step 3: Cross multiply
    321,331.50x = 706,365 × 706,365
  4. Step 4: Simplify right side
    321,331.50x = 498,951,513,225
  5. Step 5: Solve for x
    x = 498,951,513,225/321,331.50
  6. Step 6: Final answer
    x = 1,552,762.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.