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Finding the Third Proportional to 71,252.50 and 112,820.50

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Solution

The third proportional to 71,252.50 and 112,820.50 is: 178,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,252.50 : 112,820.50 = 112,820.50 : x
  2. Step 2: Convert to fraction form
    71,252.50/112,820.50 = 112,820.50/x
  3. Step 3: Cross multiply
    71,252.50x = 112,820.50 × 112,820.50
  4. Step 4: Simplify right side
    71,252.50x = 12,728,465,220.25
  5. Step 5: Solve for x
    x = 12,728,465,220.25/71,252.50
  6. Step 6: Final answer
    x = 178,638.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.