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Finding the Third Proportional to 119,457.28 and 256,623.19

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Solution

The third proportional to 119,457.28 and 256,623.19 is: 551,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,457.28 : 256,623.19 = 256,623.19 : x
  2. Step 2: Convert to fraction form
    119,457.28/256,623.19 = 256,623.19/x
  3. Step 3: Cross multiply
    119,457.28x = 256,623.19 × 256,623.19
  4. Step 4: Simplify right side
    119,457.28x = 65,855,460,362.66
  5. Step 5: Solve for x
    x = 65,855,460,362.66/119,457.28
  6. Step 6: Final answer
    x = 551,288.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.