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Finding the Third Proportional to 93,821.06 and 141,543.56

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Solution

The third proportional to 93,821.06 and 141,543.56 is: 213,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,821.06 : 141,543.56 = 141,543.56 : x
  2. Step 2: Convert to fraction form
    93,821.06/141,543.56 = 141,543.56/x
  3. Step 3: Cross multiply
    93,821.06x = 141,543.56 × 141,543.56
  4. Step 4: Simplify right side
    93,821.06x = 20,034,580,085.19
  5. Step 5: Solve for x
    x = 20,034,580,085.19/93,821.06
  6. Step 6: Final answer
    x = 213,540.32

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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.