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Finding the Third Proportional to 262,899 and 429,251

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Solution

The third proportional to 262,899 and 429,251 is: 700,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,899 : 429,251 = 429,251 : x
  2. Step 2: Convert to fraction form
    262,899/429,251 = 429,251/x
  3. Step 3: Cross multiply
    262,899x = 429,251 × 429,251
  4. Step 4: Simplify right side
    262,899x = 184,256,421,001
  5. Step 5: Solve for x
    x = 184,256,421,001/262,899
  6. Step 6: Final answer
    x = 700,863.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.