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Finding the Third Proportional to 205,770 and 293,686.50

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Solution

The third proportional to 205,770 and 293,686.50 is: 419,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,770 : 293,686.50 = 293,686.50 : x
  2. Step 2: Convert to fraction form
    205,770/293,686.50 = 293,686.50/x
  3. Step 3: Cross multiply
    205,770x = 293,686.50 × 293,686.50
  4. Step 4: Simplify right side
    205,770x = 86,251,760,282.25
  5. Step 5: Solve for x
    x = 86,251,760,282.25/205,770
  6. Step 6: Final answer
    x = 419,165.87

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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.