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Finding the Third Proportional to 9,718 and 21,402.50

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Solution

The third proportional to 9,718 and 21,402.50 is: 47,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718 : 21,402.50 = 21,402.50 : x
  2. Step 2: Convert to fraction form
    9,718/21,402.50 = 21,402.50/x
  3. Step 3: Cross multiply
    9,718x = 21,402.50 × 21,402.50
  4. Step 4: Simplify right side
    9,718x = 458,067,006.25
  5. Step 5: Solve for x
    x = 458,067,006.25/9,718
  6. Step 6: Final answer
    x = 47,135.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.