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Finding the Third Proportional to 66,681 and 103,221

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Solution

The third proportional to 66,681 and 103,221 is: 159,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,681 : 103,221 = 103,221 : x
  2. Step 2: Convert to fraction form
    66,681/103,221 = 103,221/x
  3. Step 3: Cross multiply
    66,681x = 103,221 × 103,221
  4. Step 4: Simplify right side
    66,681x = 10,654,574,841
  5. Step 5: Solve for x
    x = 10,654,574,841/66,681
  6. Step 6: Final answer
    x = 159,784.27

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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.