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Finding the Third Proportional to 10,862 and 23,701.50

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Solution

The third proportional to 10,862 and 23,701.50 is: 51,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862 : 23,701.50 = 23,701.50 : x
  2. Step 2: Convert to fraction form
    10,862/23,701.50 = 23,701.50/x
  3. Step 3: Cross multiply
    10,862x = 23,701.50 × 23,701.50
  4. Step 4: Simplify right side
    10,862x = 561,761,102.25
  5. Step 5: Solve for x
    x = 561,761,102.25/10,862
  6. Step 6: Final answer
    x = 51,718.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.