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Finding the Third Proportional to 29,816 and 40,487

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Solution

The third proportional to 29,816 and 40,487 is: 54,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816 : 40,487 = 40,487 : x
  2. Step 2: Convert to fraction form
    29,816/40,487 = 40,487/x
  3. Step 3: Cross multiply
    29,816x = 40,487 × 40,487
  4. Step 4: Simplify right side
    29,816x = 1,639,197,169
  5. Step 5: Solve for x
    x = 1,639,197,169/29,816
  6. Step 6: Final answer
    x = 54,977.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.