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Finding the Third Proportional to 40,007 and 64,444

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Solution

The third proportional to 40,007 and 64,444 is: 103,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,007 : 64,444 = 64,444 : x
  2. Step 2: Convert to fraction form
    40,007/64,444 = 64,444/x
  3. Step 3: Cross multiply
    40,007x = 64,444 × 64,444
  4. Step 4: Simplify right side
    40,007x = 4,153,029,136
  5. Step 5: Solve for x
    x = 4,153,029,136/40,007
  6. Step 6: Final answer
    x = 103,807.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.