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Finding the Third Proportional to 98,784.84 and 141,161.44

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Solution

The third proportional to 98,784.84 and 141,161.44 is: 201,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784.84 : 141,161.44 = 141,161.44 : x
  2. Step 2: Convert to fraction form
    98,784.84/141,161.44 = 141,161.44/x
  3. Step 3: Cross multiply
    98,784.84x = 141,161.44 × 141,161.44
  4. Step 4: Simplify right side
    98,784.84x = 19,926,551,437.07
  5. Step 5: Solve for x
    x = 19,926,551,437.07/98,784.84
  6. Step 6: Final answer
    x = 201,716.69

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Why These Related Problems?

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