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Finding the Third Proportional to 354,910 and 542,996

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Solution

The third proportional to 354,910 and 542,996 is: 830,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,910 : 542,996 = 542,996 : x
  2. Step 2: Convert to fraction form
    354,910/542,996 = 542,996/x
  3. Step 3: Cross multiply
    354,910x = 542,996 × 542,996
  4. Step 4: Simplify right side
    354,910x = 294,844,656,016
  5. Step 5: Solve for x
    x = 294,844,656,016/354,910
  6. Step 6: Final answer
    x = 830,758.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.