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Finding the Third Proportional to 355,712 and 542,604

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Solution

The third proportional to 355,712 and 542,604 is: 827,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,712 : 542,604 = 542,604 : x
  2. Step 2: Convert to fraction form
    355,712/542,604 = 542,604/x
  3. Step 3: Cross multiply
    355,712x = 542,604 × 542,604
  4. Step 4: Simplify right side
    355,712x = 294,419,100,816
  5. Step 5: Solve for x
    x = 294,419,100,816/355,712
  6. Step 6: Final answer
    x = 827,689.54

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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.