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Finding the Third Proportional to 161,823 and 251,254

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Solution

The third proportional to 161,823 and 251,254 is: 390,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,823 : 251,254 = 251,254 : x
  2. Step 2: Convert to fraction form
    161,823/251,254 = 251,254/x
  3. Step 3: Cross multiply
    161,823x = 251,254 × 251,254
  4. Step 4: Simplify right side
    161,823x = 63,128,572,516
  5. Step 5: Solve for x
    x = 63,128,572,516/161,823
  6. Step 6: Final answer
    x = 390,108.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.