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Finding the Third Proportional to 180,639 and 261,643.50

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Solution

The third proportional to 180,639 and 261,643.50 is: 378,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,639 : 261,643.50 = 261,643.50 : x
  2. Step 2: Convert to fraction form
    180,639/261,643.50 = 261,643.50/x
  3. Step 3: Cross multiply
    180,639x = 261,643.50 × 261,643.50
  4. Step 4: Simplify right side
    180,639x = 68,457,321,092.25
  5. Step 5: Solve for x
    x = 68,457,321,092.25/180,639
  6. Step 6: Final answer
    x = 378,973.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.