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Finding the Third Proportional to 211,598 and 287,052

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Solution

The third proportional to 211,598 and 287,052 is: 389,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,598 : 287,052 = 287,052 : x
  2. Step 2: Convert to fraction form
    211,598/287,052 = 287,052/x
  3. Step 3: Cross multiply
    211,598x = 287,052 × 287,052
  4. Step 4: Simplify right side
    211,598x = 82,398,850,704
  5. Step 5: Solve for x
    x = 82,398,850,704/211,598
  6. Step 6: Final answer
    x = 389,412.24

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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.