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Finding the Third Proportional to 64,072 and 137,620

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Solution

The third proportional to 64,072 and 137,620 is: 295,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,072 : 137,620 = 137,620 : x
  2. Step 2: Convert to fraction form
    64,072/137,620 = 137,620/x
  3. Step 3: Cross multiply
    64,072x = 137,620 × 137,620
  4. Step 4: Simplify right side
    64,072x = 18,939,264,400
  5. Step 5: Solve for x
    x = 18,939,264,400/64,072
  6. Step 6: Final answer
    x = 295,593.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.