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Finding the Third Proportional to 19,449 and 40,572

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Solution

The third proportional to 19,449 and 40,572 is: 84,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449 : 40,572 = 40,572 : x
  2. Step 2: Convert to fraction form
    19,449/40,572 = 40,572/x
  3. Step 3: Cross multiply
    19,449x = 40,572 × 40,572
  4. Step 4: Simplify right side
    19,449x = 1,646,087,184
  5. Step 5: Solve for x
    x = 1,646,087,184/19,449
  6. Step 6: Final answer
    x = 84,636.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.