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Finding the Third Proportional to 64,854 and 132,925.50

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Solution

The third proportional to 64,854 and 132,925.50 is: 272,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 132,925.50 = 132,925.50 : x
  2. Step 2: Convert to fraction form
    64,854/132,925.50 = 132,925.50/x
  3. Step 3: Cross multiply
    64,854x = 132,925.50 × 132,925.50
  4. Step 4: Simplify right side
    64,854x = 17,669,188,550.25
  5. Step 5: Solve for x
    x = 17,669,188,550.25/64,854
  6. Step 6: Final answer
    x = 272,445.62

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.