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Finding the Third Proportional to 67,670 and 148,840

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Solution

The third proportional to 67,670 and 148,840 is: 327,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,670 : 148,840 = 148,840 : x
  2. Step 2: Convert to fraction form
    67,670/148,840 = 148,840/x
  3. Step 3: Cross multiply
    67,670x = 148,840 × 148,840
  4. Step 4: Simplify right side
    67,670x = 22,153,345,600
  5. Step 5: Solve for x
    x = 22,153,345,600/67,670
  6. Step 6: Final answer
    x = 327,373.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.