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Finding the Third Proportional to 32,485 and 71,044

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Solution

The third proportional to 32,485 and 71,044 is: 155,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485 : 71,044 = 71,044 : x
  2. Step 2: Convert to fraction form
    32,485/71,044 = 71,044/x
  3. Step 3: Cross multiply
    32,485x = 71,044 × 71,044
  4. Step 4: Simplify right side
    32,485x = 5,047,249,936
  5. Step 5: Solve for x
    x = 5,047,249,936/32,485
  6. Step 6: Final answer
    x = 155,371.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.