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Finding the Third Proportional to 20,516 and 40,423

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Solution

The third proportional to 20,516 and 40,423 is: 79,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 40,423 = 40,423 : x
  2. Step 2: Convert to fraction form
    20,516/40,423 = 40,423/x
  3. Step 3: Cross multiply
    20,516x = 40,423 × 40,423
  4. Step 4: Simplify right side
    20,516x = 1,634,018,929
  5. Step 5: Solve for x
    x = 1,634,018,929/20,516
  6. Step 6: Final answer
    x = 79,646.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.