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Finding the Third Proportional to 131,284.50 and 286,329

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Solution

The third proportional to 131,284.50 and 286,329 is: 624,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,284.50 : 286,329 = 286,329 : x
  2. Step 2: Convert to fraction form
    131,284.50/286,329 = 286,329/x
  3. Step 3: Cross multiply
    131,284.50x = 286,329 × 286,329
  4. Step 4: Simplify right side
    131,284.50x = 81,984,296,241
  5. Step 5: Solve for x
    x = 81,984,296,241/131,284.50
  6. Step 6: Final answer
    x = 624,478.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.