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Finding the Third Proportional to 19,213 and 40,531

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Solution

The third proportional to 19,213 and 40,531 is: 85,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213 : 40,531 = 40,531 : x
  2. Step 2: Convert to fraction form
    19,213/40,531 = 40,531/x
  3. Step 3: Cross multiply
    19,213x = 40,531 × 40,531
  4. Step 4: Simplify right side
    19,213x = 1,642,761,961
  5. Step 5: Solve for x
    x = 1,642,761,961/19,213
  6. Step 6: Final answer
    x = 85,502.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.