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Finding the Third Proportional to 64,600.50 and 137,028

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Solution

The third proportional to 64,600.50 and 137,028 is: 290,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,600.50 : 137,028 = 137,028 : x
  2. Step 2: Convert to fraction form
    64,600.50/137,028 = 137,028/x
  3. Step 3: Cross multiply
    64,600.50x = 137,028 × 137,028
  4. Step 4: Simplify right side
    64,600.50x = 18,776,672,784
  5. Step 5: Solve for x
    x = 18,776,672,784/64,600.50
  6. Step 6: Final answer
    x = 290,658.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.