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Finding the Third Proportional to 52,910 and 71,857.50

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Solution

The third proportional to 52,910 and 71,857.50 is: 97,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,910 : 71,857.50 = 71,857.50 : x
  2. Step 2: Convert to fraction form
    52,910/71,857.50 = 71,857.50/x
  3. Step 3: Cross multiply
    52,910x = 71,857.50 × 71,857.50
  4. Step 4: Simplify right side
    52,910x = 5,163,500,306.25
  5. Step 5: Solve for x
    x = 5,163,500,306.25/52,910
  6. Step 6: Final answer
    x = 97,590.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.