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Finding the Third Proportional to 99,110.50 and 141,284

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Solution

The third proportional to 99,110.50 and 141,284 is: 201,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,110.50 : 141,284 = 141,284 : x
  2. Step 2: Convert to fraction form
    99,110.50/141,284 = 141,284/x
  3. Step 3: Cross multiply
    99,110.50x = 141,284 × 141,284
  4. Step 4: Simplify right side
    99,110.50x = 19,961,168,656
  5. Step 5: Solve for x
    x = 19,961,168,656/99,110.50
  6. Step 6: Final answer
    x = 201,403.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.