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Finding the Third Proportional to 51,171 and 77,551.50

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Solution

The third proportional to 51,171 and 77,551.50 is: 117,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171 : 77,551.50 = 77,551.50 : x
  2. Step 2: Convert to fraction form
    51,171/77,551.50 = 77,551.50/x
  3. Step 3: Cross multiply
    51,171x = 77,551.50 × 77,551.50
  4. Step 4: Simplify right side
    51,171x = 6,014,235,152.25
  5. Step 5: Solve for x
    x = 6,014,235,152.25/51,171
  6. Step 6: Final answer
    x = 117,532.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.