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Finding the Third Proportional to 141,864 and 210,786

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Solution

The third proportional to 141,864 and 210,786 is: 313,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,864 : 210,786 = 210,786 : x
  2. Step 2: Convert to fraction form
    141,864/210,786 = 210,786/x
  3. Step 3: Cross multiply
    141,864x = 210,786 × 210,786
  4. Step 4: Simplify right side
    141,864x = 44,430,737,796
  5. Step 5: Solve for x
    x = 44,430,737,796/141,864
  6. Step 6: Final answer
    x = 313,192.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.