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Finding the Third Proportional to 129,951 and 283,405.50

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Solution

The third proportional to 129,951 and 283,405.50 is: 618,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,951 : 283,405.50 = 283,405.50 : x
  2. Step 2: Convert to fraction form
    129,951/283,405.50 = 283,405.50/x
  3. Step 3: Cross multiply
    129,951x = 283,405.50 × 283,405.50
  4. Step 4: Simplify right side
    129,951x = 80,318,677,430.25
  5. Step 5: Solve for x
    x = 80,318,677,430.25/129,951
  6. Step 6: Final answer
    x = 618,068.94

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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.