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Finding the Third Proportional to 64,859 and 142,021

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Solution

The third proportional to 64,859 and 142,021 is: 310,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,859 : 142,021 = 142,021 : x
  2. Step 2: Convert to fraction form
    64,859/142,021 = 142,021/x
  3. Step 3: Cross multiply
    64,859x = 142,021 × 142,021
  4. Step 4: Simplify right side
    64,859x = 20,169,964,441
  5. Step 5: Solve for x
    x = 20,169,964,441/64,859
  6. Step 6: Final answer
    x = 310,981.74

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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.