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Finding the Third Proportional to 211,597.50 and 287,051.63

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Solution

The third proportional to 211,597.50 and 287,051.63 is: 389,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,597.50 : 287,051.63 = 287,051.63 : x
  2. Step 2: Convert to fraction form
    211,597.50/287,051.63 = 287,051.63/x
  3. Step 3: Cross multiply
    211,597.50x = 287,051.63 × 287,051.63
  4. Step 4: Simplify right side
    211,597.50x = 82,398,635,415.14
  5. Step 5: Solve for x
    x = 82,398,635,415.14/211,597.50
  6. Step 6: Final answer
    x = 389,412.14

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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.