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Finding the Third Proportional to 87,818 and 207,071

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Solution

The third proportional to 87,818 and 207,071 is: 488,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,818 : 207,071 = 207,071 : x
  2. Step 2: Convert to fraction form
    87,818/207,071 = 207,071/x
  3. Step 3: Cross multiply
    87,818x = 207,071 × 207,071
  4. Step 4: Simplify right side
    87,818x = 42,878,399,041
  5. Step 5: Solve for x
    x = 42,878,399,041/87,818
  6. Step 6: Final answer
    x = 488,264.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.