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Finding the Third Proportional to 243,686 and 506,873

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Solution

The third proportional to 243,686 and 506,873 is: 1,054,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,686 : 506,873 = 506,873 : x
  2. Step 2: Convert to fraction form
    243,686/506,873 = 506,873/x
  3. Step 3: Cross multiply
    243,686x = 506,873 × 506,873
  4. Step 4: Simplify right side
    243,686x = 256,920,238,129
  5. Step 5: Solve for x
    x = 256,920,238,129/243,686
  6. Step 6: Final answer
    x = 1,054,308.57

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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.