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Finding the Third Proportional to 119,813.25 and 256,457.63

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Solution

The third proportional to 119,813.25 and 256,457.63 is: 548,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,813.25 : 256,457.63 = 256,457.63 : x
  2. Step 2: Convert to fraction form
    119,813.25/256,457.63 = 256,457.63/x
  3. Step 3: Cross multiply
    119,813.25x = 256,457.63 × 256,457.63
  4. Step 4: Simplify right side
    119,813.25x = 65,770,513,420.64
  5. Step 5: Solve for x
    x = 65,770,513,420.64/119,813.25
  6. Step 6: Final answer
    x = 548,941.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.