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Finding the Third Proportional to 140,140.13 and 220,254.19

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Solution

The third proportional to 140,140.13 and 220,254.19 is: 346,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,140.13 : 220,254.19 = 220,254.19 : x
  2. Step 2: Convert to fraction form
    140,140.13/220,254.19 = 220,254.19/x
  3. Step 3: Cross multiply
    140,140.13x = 220,254.19 × 220,254.19
  4. Step 4: Simplify right side
    140,140.13x = 48,511,907,111.29
  5. Step 5: Solve for x
    x = 48,511,907,111.29/140,140.13
  6. Step 6: Final answer
    x = 346,167.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.