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Finding the Third Proportional to 215,968.13 and 297,707.81

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Solution

The third proportional to 215,968.13 and 297,707.81 is: 410,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,968.13 : 297,707.81 = 297,707.81 : x
  2. Step 2: Convert to fraction form
    215,968.13/297,707.81 = 297,707.81/x
  3. Step 3: Cross multiply
    215,968.13x = 297,707.81 × 297,707.81
  4. Step 4: Simplify right side
    215,968.13x = 88,629,941,623.54
  5. Step 5: Solve for x
    x = 88,629,941,623.54/215,968.13
  6. Step 6: Final answer
    x = 410,384.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.