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Finding the Third Proportional to 108,578.25 and 156,639

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Solution

The third proportional to 108,578.25 and 156,639 is: 225,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,578.25 : 156,639 = 156,639 : x
  2. Step 2: Convert to fraction form
    108,578.25/156,639 = 156,639/x
  3. Step 3: Cross multiply
    108,578.25x = 156,639 × 156,639
  4. Step 4: Simplify right side
    108,578.25x = 24,535,776,321
  5. Step 5: Solve for x
    x = 24,535,776,321/108,578.25
  6. Step 6: Final answer
    x = 225,973.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.