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Finding the Third Proportional to 74,610 and 118,142

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Solution

The third proportional to 74,610 and 118,142 is: 187,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,610 : 118,142 = 118,142 : x
  2. Step 2: Convert to fraction form
    74,610/118,142 = 118,142/x
  3. Step 3: Cross multiply
    74,610x = 118,142 × 118,142
  4. Step 4: Simplify right side
    74,610x = 13,957,532,164
  5. Step 5: Solve for x
    x = 13,957,532,164/74,610
  6. Step 6: Final answer
    x = 187,073.21

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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.