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Finding the Third Proportional to 149,812.69 and 320,948.63

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Solution

The third proportional to 149,812.69 and 320,948.63 is: 687,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,812.69 : 320,948.63 = 320,948.63 : x
  2. Step 2: Convert to fraction form
    149,812.69/320,948.63 = 320,948.63/x
  3. Step 3: Cross multiply
    149,812.69x = 320,948.63 × 320,948.63
  4. Step 4: Simplify right side
    149,812.69x = 103,008,019,889.39
  5. Step 5: Solve for x
    x = 103,008,019,889.39/149,812.69
  6. Step 6: Final answer
    x = 687,578.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.