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Finding the Third Proportional to 44,369 and 96,513.50

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Solution

The third proportional to 44,369 and 96,513.50 is: 209,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,369 : 96,513.50 = 96,513.50 : x
  2. Step 2: Convert to fraction form
    44,369/96,513.50 = 96,513.50/x
  3. Step 3: Cross multiply
    44,369x = 96,513.50 × 96,513.50
  4. Step 4: Simplify right side
    44,369x = 9,314,855,682.25
  5. Step 5: Solve for x
    x = 9,314,855,682.25/44,369
  6. Step 6: Final answer
    x = 209,940.63

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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.