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Finding the Third Proportional to 141,333 and 202,308.50

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Solution

The third proportional to 141,333 and 202,308.50 is: 289,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,333 : 202,308.50 = 202,308.50 : x
  2. Step 2: Convert to fraction form
    141,333/202,308.50 = 202,308.50/x
  3. Step 3: Cross multiply
    141,333x = 202,308.50 × 202,308.50
  4. Step 4: Simplify right side
    141,333x = 40,928,729,172.25
  5. Step 5: Solve for x
    x = 40,928,729,172.25/141,333
  6. Step 6: Final answer
    x = 289,590.75

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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.