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Finding the Third Proportional to 9,765 and 23,602.50

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Solution

The third proportional to 9,765 and 23,602.50 is: 57,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765 : 23,602.50 = 23,602.50 : x
  2. Step 2: Convert to fraction form
    9,765/23,602.50 = 23,602.50/x
  3. Step 3: Cross multiply
    9,765x = 23,602.50 × 23,602.50
  4. Step 4: Simplify right side
    9,765x = 557,078,006.25
  5. Step 5: Solve for x
    x = 557,078,006.25/9,765
  6. Step 6: Final answer
    x = 57,048.44

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.