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Finding the Third Proportional to 64,318.50 and 137,866.50

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Solution

The third proportional to 64,318.50 and 137,866.50 is: 295,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,318.50 : 137,866.50 = 137,866.50 : x
  2. Step 2: Convert to fraction form
    64,318.50/137,866.50 = 137,866.50/x
  3. Step 3: Cross multiply
    64,318.50x = 137,866.50 × 137,866.50
  4. Step 4: Simplify right side
    64,318.50x = 19,007,171,822.25
  5. Step 5: Solve for x
    x = 19,007,171,822.25/64,318.50
  6. Step 6: Final answer
    x = 295,516.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.