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Finding the Third Proportional to 210,443 and 458,632

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Solution

The third proportional to 210,443 and 458,632 is: 999,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,443 : 458,632 = 458,632 : x
  2. Step 2: Convert to fraction form
    210,443/458,632 = 458,632/x
  3. Step 3: Cross multiply
    210,443x = 458,632 × 458,632
  4. Step 4: Simplify right side
    210,443x = 210,343,311,424
  5. Step 5: Solve for x
    x = 210,343,311,424/210,443
  6. Step 6: Final answer
    x = 999,526.29

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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.