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Finding the Third Proportional to 74,689 and 118,322

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Solution

The third proportional to 74,689 and 118,322 is: 187,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689 : 118,322 = 118,322 : x
  2. Step 2: Convert to fraction form
    74,689/118,322 = 118,322/x
  3. Step 3: Cross multiply
    74,689x = 118,322 × 118,322
  4. Step 4: Simplify right side
    74,689x = 14,000,095,684
  5. Step 5: Solve for x
    x = 14,000,095,684/74,689
  6. Step 6: Final answer
    x = 187,445.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.