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Finding the Third Proportional to 52,710.75 and 83,758.50

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Solution

The third proportional to 52,710.75 and 83,758.50 is: 133,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,710.75 : 83,758.50 = 83,758.50 : x
  2. Step 2: Convert to fraction form
    52,710.75/83,758.50 = 83,758.50/x
  3. Step 3: Cross multiply
    52,710.75x = 83,758.50 × 83,758.50
  4. Step 4: Simplify right side
    52,710.75x = 7,015,486,322.25
  5. Step 5: Solve for x
    x = 7,015,486,322.25/52,710.75
  6. Step 6: Final answer
    x = 133,094.03

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