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Finding the Third Proportional to 212,440 and 462,343

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Solution

The third proportional to 212,440 and 462,343 is: 1,006,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,440 : 462,343 = 462,343 : x
  2. Step 2: Convert to fraction form
    212,440/462,343 = 462,343/x
  3. Step 3: Cross multiply
    212,440x = 462,343 × 462,343
  4. Step 4: Simplify right side
    212,440x = 213,761,049,649
  5. Step 5: Solve for x
    x = 213,761,049,649/212,440
  6. Step 6: Final answer
    x = 1,006,218.46

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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.