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Finding the Third Proportional to 260,052 and 386,109

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Solution

The third proportional to 260,052 and 386,109 is: 573,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,052 : 386,109 = 386,109 : x
  2. Step 2: Convert to fraction form
    260,052/386,109 = 386,109/x
  3. Step 3: Cross multiply
    260,052x = 386,109 × 386,109
  4. Step 4: Simplify right side
    260,052x = 149,080,159,881
  5. Step 5: Solve for x
    x = 149,080,159,881/260,052
  6. Step 6: Final answer
    x = 573,270.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.