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Finding the Third Proportional to 279,389.25 and 442,594.13

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Solution

The third proportional to 279,389.25 and 442,594.13 is: 701,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,389.25 : 442,594.13 = 442,594.13 : x
  2. Step 2: Convert to fraction form
    279,389.25/442,594.13 = 442,594.13/x
  3. Step 3: Cross multiply
    279,389.25x = 442,594.13 × 442,594.13
  4. Step 4: Simplify right side
    279,389.25x = 195,889,559,484.52
  5. Step 5: Solve for x
    x = 195,889,559,484.52/279,389.25
  6. Step 6: Final answer
    x = 701,134.92

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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.