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Finding the Third Proportional to 119,297.81 and 257,280.05

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Solution

The third proportional to 119,297.81 and 257,280.05 is: 554,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,297.81 : 257,280.05 = 257,280.05 : x
  2. Step 2: Convert to fraction form
    119,297.81/257,280.05 = 257,280.05/x
  3. Step 3: Cross multiply
    119,297.81x = 257,280.05 × 257,280.05
  4. Step 4: Simplify right side
    119,297.81x = 66,193,022,520.00
  5. Step 5: Solve for x
    x = 66,193,022,520.00/119,297.81
  6. Step 6: Final answer
    x = 554,855.29

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Why These Related Problems?

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