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Finding the Third Proportional to 22,425 and 34,702.50

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Solution

The third proportional to 22,425 and 34,702.50 is: 53,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425 : 34,702.50 = 34,702.50 : x
  2. Step 2: Convert to fraction form
    22,425/34,702.50 = 34,702.50/x
  3. Step 3: Cross multiply
    22,425x = 34,702.50 × 34,702.50
  4. Step 4: Simplify right side
    22,425x = 1,204,263,506.25
  5. Step 5: Solve for x
    x = 1,204,263,506.25/22,425
  6. Step 6: Final answer
    x = 53,701.83

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