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Finding the Third Proportional to 51,705.50 and 77,865.75

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Solution

The third proportional to 51,705.50 and 77,865.75 is: 117,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.50 : 77,865.75 = 77,865.75 : x
  2. Step 2: Convert to fraction form
    51,705.50/77,865.75 = 77,865.75/x
  3. Step 3: Cross multiply
    51,705.50x = 77,865.75 × 77,865.75
  4. Step 4: Simplify right side
    51,705.50x = 6,063,075,023.06
  5. Step 5: Solve for x
    x = 6,063,075,023.06/51,705.50
  6. Step 6: Final answer
    x = 117,261.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.