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Finding the Third Proportional to 213,642 and 319,878

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Solution

The third proportional to 213,642 and 319,878 is: 478,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,642 : 319,878 = 319,878 : x
  2. Step 2: Convert to fraction form
    213,642/319,878 = 319,878/x
  3. Step 3: Cross multiply
    213,642x = 319,878 × 319,878
  4. Step 4: Simplify right side
    213,642x = 102,321,934,884
  5. Step 5: Solve for x
    x = 102,321,934,884/213,642
  6. Step 6: Final answer
    x = 478,941.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.