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Finding the Third Proportional to 108,369 and 147,631.50

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Solution

The third proportional to 108,369 and 147,631.50 is: 201,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,369 : 147,631.50 = 147,631.50 : x
  2. Step 2: Convert to fraction form
    108,369/147,631.50 = 147,631.50/x
  3. Step 3: Cross multiply
    108,369x = 147,631.50 × 147,631.50
  4. Step 4: Simplify right side
    108,369x = 21,795,059,792.25
  5. Step 5: Solve for x
    x = 21,795,059,792.25/108,369
  6. Step 6: Final answer
    x = 201,118.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.