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Finding the Third Proportional to 158,090 and 231,220

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Solution

The third proportional to 158,090 and 231,220 is: 338,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,090 : 231,220 = 231,220 : x
  2. Step 2: Convert to fraction form
    158,090/231,220 = 231,220/x
  3. Step 3: Cross multiply
    158,090x = 231,220 × 231,220
  4. Step 4: Simplify right side
    158,090x = 53,462,688,400
  5. Step 5: Solve for x
    x = 53,462,688,400/158,090
  6. Step 6: Final answer
    x = 338,178.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.