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Finding the Third Proportional to 19,947 and 40,547

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Solution

The third proportional to 19,947 and 40,547 is: 82,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947 : 40,547 = 40,547 : x
  2. Step 2: Convert to fraction form
    19,947/40,547 = 40,547/x
  3. Step 3: Cross multiply
    19,947x = 40,547 × 40,547
  4. Step 4: Simplify right side
    19,947x = 1,644,059,209
  5. Step 5: Solve for x
    x = 1,644,059,209/19,947
  6. Step 6: Final answer
    x = 82,421.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.