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Finding the Third Proportional to 282,812.81 and 395,599.69

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Solution

The third proportional to 282,812.81 and 395,599.69 is: 553,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,812.81 : 395,599.69 = 395,599.69 : x
  2. Step 2: Convert to fraction form
    282,812.81/395,599.69 = 395,599.69/x
  3. Step 3: Cross multiply
    282,812.81x = 395,599.69 × 395,599.69
  4. Step 4: Simplify right side
    282,812.81x = 156,499,112,750.10
  5. Step 5: Solve for x
    x = 156,499,112,750.10/282,812.81
  6. Step 6: Final answer
    x = 553,366.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.