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Finding the Third Proportional to 81,142.50 and 124,798.50

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Solution

The third proportional to 81,142.50 and 124,798.50 is: 191,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,142.50 : 124,798.50 = 124,798.50 : x
  2. Step 2: Convert to fraction form
    81,142.50/124,798.50 = 124,798.50/x
  3. Step 3: Cross multiply
    81,142.50x = 124,798.50 × 124,798.50
  4. Step 4: Simplify right side
    81,142.50x = 15,574,665,602.25
  5. Step 5: Solve for x
    x = 15,574,665,602.25/81,142.50
  6. Step 6: Final answer
    x = 191,942.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.