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Finding the Third Proportional to 64,210 and 154,686

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Solution

The third proportional to 64,210 and 154,686 is: 372,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,210 : 154,686 = 154,686 : x
  2. Step 2: Convert to fraction form
    64,210/154,686 = 154,686/x
  3. Step 3: Cross multiply
    64,210x = 154,686 × 154,686
  4. Step 4: Simplify right side
    64,210x = 23,927,758,596
  5. Step 5: Solve for x
    x = 23,927,758,596/64,210
  6. Step 6: Final answer
    x = 372,648.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.