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Finding the Third Proportional to 243,142 and 505,612

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Solution

The third proportional to 243,142 and 505,612 is: 1,051,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,142 : 505,612 = 505,612 : x
  2. Step 2: Convert to fraction form
    243,142/505,612 = 505,612/x
  3. Step 3: Cross multiply
    243,142x = 505,612 × 505,612
  4. Step 4: Simplify right side
    243,142x = 255,643,494,544
  5. Step 5: Solve for x
    x = 255,643,494,544/243,142
  6. Step 6: Final answer
    x = 1,051,416.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.