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Finding the Third Proportional to 40,784 and 64,888

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Solution

The third proportional to 40,784 and 64,888 is: 103,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,784 : 64,888 = 64,888 : x
  2. Step 2: Convert to fraction form
    40,784/64,888 = 64,888/x
  3. Step 3: Cross multiply
    40,784x = 64,888 × 64,888
  4. Step 4: Simplify right side
    40,784x = 4,210,452,544
  5. Step 5: Solve for x
    x = 4,210,452,544/40,784
  6. Step 6: Final answer
    x = 103,237.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.