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Finding the Third Proportional to 64,046 and 102,902

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Solution

The third proportional to 64,046 and 102,902 is: 165,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,046 : 102,902 = 102,902 : x
  2. Step 2: Convert to fraction form
    64,046/102,902 = 102,902/x
  3. Step 3: Cross multiply
    64,046x = 102,902 × 102,902
  4. Step 4: Simplify right side
    64,046x = 10,588,821,604
  5. Step 5: Solve for x
    x = 10,588,821,604/64,046
  6. Step 6: Final answer
    x = 165,331.51

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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.