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Finding the Third Proportional to 207,415.69 and 296,178.19

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Solution

The third proportional to 207,415.69 and 296,178.19 is: 422,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,415.69 : 296,178.19 = 296,178.19 : x
  2. Step 2: Convert to fraction form
    207,415.69/296,178.19 = 296,178.19/x
  3. Step 3: Cross multiply
    207,415.69x = 296,178.19 × 296,178.19
  4. Step 4: Simplify right side
    207,415.69x = 87,721,518,750.79
  5. Step 5: Solve for x
    x = 87,721,518,750.79/207,415.69
  6. Step 6: Final answer
    x = 422,926.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.