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Finding the Third Proportional to 133,730 and 278,660

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Solution

The third proportional to 133,730 and 278,660 is: 580,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,730 : 278,660 = 278,660 : x
  2. Step 2: Convert to fraction form
    133,730/278,660 = 278,660/x
  3. Step 3: Cross multiply
    133,730x = 278,660 × 278,660
  4. Step 4: Simplify right side
    133,730x = 77,651,395,600
  5. Step 5: Solve for x
    x = 77,651,395,600/133,730
  6. Step 6: Final answer
    x = 580,658.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.