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Finding the Third Proportional to 141,070.50 and 191,376

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Solution

The third proportional to 141,070.50 and 191,376 is: 259,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,070.50 : 191,376 = 191,376 : x
  2. Step 2: Convert to fraction form
    141,070.50/191,376 = 191,376/x
  3. Step 3: Cross multiply
    141,070.50x = 191,376 × 191,376
  4. Step 4: Simplify right side
    141,070.50x = 36,624,773,376
  5. Step 5: Solve for x
    x = 36,624,773,376/141,070.50
  6. Step 6: Final answer
    x = 259,620.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.