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Finding the Third Proportional to 210,890 and 322,600

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Solution

The third proportional to 210,890 and 322,600 is: 493,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,890 : 322,600 = 322,600 : x
  2. Step 2: Convert to fraction form
    210,890/322,600 = 322,600/x
  3. Step 3: Cross multiply
    210,890x = 322,600 × 322,600
  4. Step 4: Simplify right side
    210,890x = 104,070,760,000
  5. Step 5: Solve for x
    x = 104,070,760,000/210,890
  6. Step 6: Final answer
    x = 493,483.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.