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Finding the Third Proportional to 66,786 and 103,359

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Solution

The third proportional to 66,786 and 103,359 is: 159,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786 : 103,359 = 103,359 : x
  2. Step 2: Convert to fraction form
    66,786/103,359 = 103,359/x
  3. Step 3: Cross multiply
    66,786x = 103,359 × 103,359
  4. Step 4: Simplify right side
    66,786x = 10,683,082,881
  5. Step 5: Solve for x
    x = 10,683,082,881/66,786
  6. Step 6: Final answer
    x = 159,959.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.