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Finding the Third Proportional to 51,813 and 82,390.50

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Solution

The third proportional to 51,813 and 82,390.50 is: 131,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813 : 82,390.50 = 82,390.50 : x
  2. Step 2: Convert to fraction form
    51,813/82,390.50 = 82,390.50/x
  3. Step 3: Cross multiply
    51,813x = 82,390.50 × 82,390.50
  4. Step 4: Simplify right side
    51,813x = 6,788,194,490.25
  5. Step 5: Solve for x
    x = 6,788,194,490.25/51,813
  6. Step 6: Final answer
    x = 131,013.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.