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Finding the Third Proportional to 74,630 and 118,170

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Solution

The third proportional to 74,630 and 118,170 is: 187,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,630 : 118,170 = 118,170 : x
  2. Step 2: Convert to fraction form
    74,630/118,170 = 118,170/x
  3. Step 3: Cross multiply
    74,630x = 118,170 × 118,170
  4. Step 4: Simplify right side
    74,630x = 13,964,148,900
  5. Step 5: Solve for x
    x = 13,964,148,900/74,630
  6. Step 6: Final answer
    x = 187,111.74

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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.