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Finding the Third Proportional to 111,410.25 and 240,574.50

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Solution

The third proportional to 111,410.25 and 240,574.50 is: 519,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,410.25 : 240,574.50 = 240,574.50 : x
  2. Step 2: Convert to fraction form
    111,410.25/240,574.50 = 240,574.50/x
  3. Step 3: Cross multiply
    111,410.25x = 240,574.50 × 240,574.50
  4. Step 4: Simplify right side
    111,410.25x = 57,876,090,050.25
  5. Step 5: Solve for x
    x = 57,876,090,050.25/111,410.25
  6. Step 6: Final answer
    x = 519,486.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.