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Finding the Third Proportional to 72,948 and 104,314.50

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Solution

The third proportional to 72,948 and 104,314.50 is: 149,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948 : 104,314.50 = 104,314.50 : x
  2. Step 2: Convert to fraction form
    72,948/104,314.50 = 104,314.50/x
  3. Step 3: Cross multiply
    72,948x = 104,314.50 × 104,314.50
  4. Step 4: Simplify right side
    72,948x = 10,881,514,910.25
  5. Step 5: Solve for x
    x = 10,881,514,910.25/72,948
  6. Step 6: Final answer
    x = 149,168.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.