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Finding the Third Proportional to 19,777.50 and 30,539

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Solution

The third proportional to 19,777.50 and 30,539 is: 47,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.50 : 30,539 = 30,539 : x
  2. Step 2: Convert to fraction form
    19,777.50/30,539 = 30,539/x
  3. Step 3: Cross multiply
    19,777.50x = 30,539 × 30,539
  4. Step 4: Simplify right side
    19,777.50x = 932,630,521
  5. Step 5: Solve for x
    x = 932,630,521/19,777.50
  6. Step 6: Final answer
    x = 47,156.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.