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Finding the Third Proportional to 52,532 and 78,852

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Solution

The third proportional to 52,532 and 78,852 is: 118,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,532 : 78,852 = 78,852 : x
  2. Step 2: Convert to fraction form
    52,532/78,852 = 78,852/x
  3. Step 3: Cross multiply
    52,532x = 78,852 × 78,852
  4. Step 4: Simplify right side
    52,532x = 6,217,637,904
  5. Step 5: Solve for x
    x = 6,217,637,904/52,532
  6. Step 6: Final answer
    x = 118,359.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.