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Finding the Third Proportional to 141,412.50 and 297,369

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Solution

The third proportional to 141,412.50 and 297,369 is: 625,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,412.50 : 297,369 = 297,369 : x
  2. Step 2: Convert to fraction form
    141,412.50/297,369 = 297,369/x
  3. Step 3: Cross multiply
    141,412.50x = 297,369 × 297,369
  4. Step 4: Simplify right side
    141,412.50x = 88,428,322,161
  5. Step 5: Solve for x
    x = 88,428,322,161/141,412.50
  6. Step 6: Final answer
    x = 625,321.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.