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Finding the Third Proportional to 279,424.69 and 442,649.81

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Solution

The third proportional to 279,424.69 and 442,649.81 is: 701,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,424.69 : 442,649.81 = 442,649.81 : x
  2. Step 2: Convert to fraction form
    279,424.69/442,649.81 = 442,649.81/x
  3. Step 3: Cross multiply
    279,424.69x = 442,649.81 × 442,649.81
  4. Step 4: Simplify right side
    279,424.69x = 195,938,856,506.29
  5. Step 5: Solve for x
    x = 195,938,856,506.29/279,424.69
  6. Step 6: Final answer
    x = 701,222.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.