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Finding the Third Proportional to 20,265.19 and 42,702.19

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Solution

The third proportional to 20,265.19 and 42,702.19 is: 89,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.19 : 42,702.19 = 42,702.19 : x
  2. Step 2: Convert to fraction form
    20,265.19/42,702.19 = 42,702.19/x
  3. Step 3: Cross multiply
    20,265.19x = 42,702.19 × 42,702.19
  4. Step 4: Simplify right side
    20,265.19x = 1,823,476,817.29
  5. Step 5: Solve for x
    x = 1,823,476,817.29/20,265.19
  6. Step 6: Final answer
    x = 89,980.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.