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Finding the Third Proportional to 147,445.50 and 222,386.25

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Solution

The third proportional to 147,445.50 and 222,386.25 is: 335,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,445.50 : 222,386.25 = 222,386.25 : x
  2. Step 2: Convert to fraction form
    147,445.50/222,386.25 = 222,386.25/x
  3. Step 3: Cross multiply
    147,445.50x = 222,386.25 × 222,386.25
  4. Step 4: Simplify right side
    147,445.50x = 49,455,644,189.06
  5. Step 5: Solve for x
    x = 49,455,644,189.06/147,445.50
  6. Step 6: Final answer
    x = 335,416.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.