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Finding the Third Proportional to 141,154 and 302,780

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Solution

The third proportional to 141,154 and 302,780 is: 649,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,154 : 302,780 = 302,780 : x
  2. Step 2: Convert to fraction form
    141,154/302,780 = 302,780/x
  3. Step 3: Cross multiply
    141,154x = 302,780 × 302,780
  4. Step 4: Simplify right side
    141,154x = 91,675,728,400
  5. Step 5: Solve for x
    x = 91,675,728,400/141,154
  6. Step 6: Final answer
    x = 649,473.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.