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Finding the Third Proportional to 258,527.81 and 386,227.13

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Solution

The third proportional to 258,527.81 and 386,227.13 is: 577,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,527.81 : 386,227.13 = 386,227.13 : x
  2. Step 2: Convert to fraction form
    258,527.81/386,227.13 = 386,227.13/x
  3. Step 3: Cross multiply
    258,527.81x = 386,227.13 × 386,227.13
  4. Step 4: Simplify right side
    258,527.81x = 149,171,392,085.77
  5. Step 5: Solve for x
    x = 149,171,392,085.77/258,527.81
  6. Step 6: Final answer
    x = 577,003.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.