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Finding the Third Proportional to 30,897 and 66,726

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Solution

The third proportional to 30,897 and 66,726 is: 144,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 66,726 = 66,726 : x
  2. Step 2: Convert to fraction form
    30,897/66,726 = 66,726/x
  3. Step 3: Cross multiply
    30,897x = 66,726 × 66,726
  4. Step 4: Simplify right side
    30,897x = 4,452,359,076
  5. Step 5: Solve for x
    x = 4,452,359,076/30,897
  6. Step 6: Final answer
    x = 144,103.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.