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Finding the Third Proportional to 210,322 and 458,711

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Solution

The third proportional to 210,322 and 458,711 is: 1,000,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,322 : 458,711 = 458,711 : x
  2. Step 2: Convert to fraction form
    210,322/458,711 = 458,711/x
  3. Step 3: Cross multiply
    210,322x = 458,711 × 458,711
  4. Step 4: Simplify right side
    210,322x = 210,415,781,521
  5. Step 5: Solve for x
    x = 210,415,781,521/210,322
  6. Step 6: Final answer
    x = 1,000,445.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.