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Finding the Third Proportional to 287,462 and 611,212

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Solution

The third proportional to 287,462 and 611,212 is: 1,299,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,462 : 611,212 = 611,212 : x
  2. Step 2: Convert to fraction form
    287,462/611,212 = 611,212/x
  3. Step 3: Cross multiply
    287,462x = 611,212 × 611,212
  4. Step 4: Simplify right side
    287,462x = 373,580,108,944
  5. Step 5: Solve for x
    x = 373,580,108,944/287,462
  6. Step 6: Final answer
    x = 1,299,580.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.