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Finding the Third Proportional to 90,621 and 210,691

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Solution

The third proportional to 90,621 and 210,691 is: 489,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,621 : 210,691 = 210,691 : x
  2. Step 2: Convert to fraction form
    90,621/210,691 = 210,691/x
  3. Step 3: Cross multiply
    90,621x = 210,691 × 210,691
  4. Step 4: Simplify right side
    90,621x = 44,390,697,481
  5. Step 5: Solve for x
    x = 44,390,697,481/90,621
  6. Step 6: Final answer
    x = 489,850.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.