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Finding the Third Proportional to 74,602 and 118,133

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Solution

The third proportional to 74,602 and 118,133 is: 187,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602 : 118,133 = 118,133 : x
  2. Step 2: Convert to fraction form
    74,602/118,133 = 118,133/x
  3. Step 3: Cross multiply
    74,602x = 118,133 × 118,133
  4. Step 4: Simplify right side
    74,602x = 13,955,405,689
  5. Step 5: Solve for x
    x = 13,955,405,689/74,602
  6. Step 6: Final answer
    x = 187,064.77

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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.