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Finding the Third Proportional to 222,102 and 316,539

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Solution

The third proportional to 222,102 and 316,539 is: 451,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,102 : 316,539 = 316,539 : x
  2. Step 2: Convert to fraction form
    222,102/316,539 = 316,539/x
  3. Step 3: Cross multiply
    222,102x = 316,539 × 316,539
  4. Step 4: Simplify right side
    222,102x = 100,196,938,521
  5. Step 5: Solve for x
    x = 100,196,938,521/222,102
  6. Step 6: Final answer
    x = 451,130.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.