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Finding the Third Proportional to 122,730 and 273,108

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Solution

The third proportional to 122,730 and 273,108 is: 607,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,730 : 273,108 = 273,108 : x
  2. Step 2: Convert to fraction form
    122,730/273,108 = 273,108/x
  3. Step 3: Cross multiply
    122,730x = 273,108 × 273,108
  4. Step 4: Simplify right side
    122,730x = 74,587,979,664
  5. Step 5: Solve for x
    x = 74,587,979,664/122,730
  6. Step 6: Final answer
    x = 607,740.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.