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Finding the Third Proportional to 147,190.50 and 322,386.75

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Solution

The third proportional to 147,190.50 and 322,386.75 is: 706,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,190.50 : 322,386.75 = 322,386.75 : x
  2. Step 2: Convert to fraction form
    147,190.50/322,386.75 = 322,386.75/x
  3. Step 3: Cross multiply
    147,190.50x = 322,386.75 × 322,386.75
  4. Step 4: Simplify right side
    147,190.50x = 103,933,216,575.56
  5. Step 5: Solve for x
    x = 103,933,216,575.56/147,190.50
  6. Step 6: Final answer
    x = 706,113.62

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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.