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Finding the Third Proportional to 355,714 and 542,605

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Solution

The third proportional to 355,714 and 542,605 is: 827,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,714 : 542,605 = 542,605 : x
  2. Step 2: Convert to fraction form
    355,714/542,605 = 542,605/x
  3. Step 3: Cross multiply
    355,714x = 542,605 × 542,605
  4. Step 4: Simplify right side
    355,714x = 294,420,186,025
  5. Step 5: Solve for x
    x = 294,420,186,025/355,714
  6. Step 6: Final answer
    x = 827,687.93

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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.