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Finding the Third Proportional to 133,980 and 207,365

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Solution

The third proportional to 133,980 and 207,365 is: 320,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,980 : 207,365 = 207,365 : x
  2. Step 2: Convert to fraction form
    133,980/207,365 = 207,365/x
  3. Step 3: Cross multiply
    133,980x = 207,365 × 207,365
  4. Step 4: Simplify right side
    133,980x = 43,000,243,225
  5. Step 5: Solve for x
    x = 43,000,243,225/133,980
  6. Step 6: Final answer
    x = 320,945.24

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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.