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Finding the Third Proportional to 283,724.81 and 421,567.74

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Solution

The third proportional to 283,724.81 and 421,567.74 is: 626,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,724.81 : 421,567.74 = 421,567.74 : x
  2. Step 2: Convert to fraction form
    283,724.81/421,567.74 = 421,567.74/x
  3. Step 3: Cross multiply
    283,724.81x = 421,567.74 × 421,567.74
  4. Step 4: Simplify right side
    283,724.81x = 177,719,362,076.44
  5. Step 5: Solve for x
    x = 177,719,362,076.44/283,724.81
  6. Step 6: Final answer
    x = 626,379.36

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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.