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Finding the Third Proportional to 134,071.50 and 207,399

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Solution

The third proportional to 134,071.50 and 207,399 is: 320,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,071.50 : 207,399 = 207,399 : x
  2. Step 2: Convert to fraction form
    134,071.50/207,399 = 207,399/x
  3. Step 3: Cross multiply
    134,071.50x = 207,399 × 207,399
  4. Step 4: Simplify right side
    134,071.50x = 43,014,345,201
  5. Step 5: Solve for x
    x = 43,014,345,201/134,071.50
  6. Step 6: Final answer
    x = 320,831.39

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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.