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Finding the Third Proportional to 118,740 and 170,088

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Solution

The third proportional to 118,740 and 170,088 is: 243,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,740 : 170,088 = 170,088 : x
  2. Step 2: Convert to fraction form
    118,740/170,088 = 170,088/x
  3. Step 3: Cross multiply
    118,740x = 170,088 × 170,088
  4. Step 4: Simplify right side
    118,740x = 28,929,927,744
  5. Step 5: Solve for x
    x = 28,929,927,744/118,740
  6. Step 6: Final answer
    x = 243,640.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.