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Finding the Third Proportional to 40,218 and 87,572

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Solution

The third proportional to 40,218 and 87,572 is: 190,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,218 : 87,572 = 87,572 : x
  2. Step 2: Convert to fraction form
    40,218/87,572 = 87,572/x
  3. Step 3: Cross multiply
    40,218x = 87,572 × 87,572
  4. Step 4: Simplify right side
    40,218x = 7,668,855,184
  5. Step 5: Solve for x
    x = 7,668,855,184/40,218
  6. Step 6: Final answer
    x = 190,682.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.