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Finding the Third Proportional to 31,563 and 68,047

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Solution

The third proportional to 31,563 and 68,047 is: 146,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563 : 68,047 = 68,047 : x
  2. Step 2: Convert to fraction form
    31,563/68,047 = 68,047/x
  3. Step 3: Cross multiply
    31,563x = 68,047 × 68,047
  4. Step 4: Simplify right side
    31,563x = 4,630,394,209
  5. Step 5: Solve for x
    x = 4,630,394,209/31,563
  6. Step 6: Final answer
    x = 146,703.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.