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Finding the Third Proportional to 210,438 and 458,622

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Solution

The third proportional to 210,438 and 458,622 is: 999,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438 : 458,622 = 458,622 : x
  2. Step 2: Convert to fraction form
    210,438/458,622 = 458,622/x
  3. Step 3: Cross multiply
    210,438x = 458,622 × 458,622
  4. Step 4: Simplify right side
    210,438x = 210,334,138,884
  5. Step 5: Solve for x
    x = 210,334,138,884/210,438
  6. Step 6: Final answer
    x = 999,506.45

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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.