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Finding the Third Proportional to 55,970 and 121,660

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Solution

The third proportional to 55,970 and 121,660 is: 264,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970 : 121,660 = 121,660 : x
  2. Step 2: Convert to fraction form
    55,970/121,660 = 121,660/x
  3. Step 3: Cross multiply
    55,970x = 121,660 × 121,660
  4. Step 4: Simplify right side
    55,970x = 14,801,155,600
  5. Step 5: Solve for x
    x = 14,801,155,600/55,970
  6. Step 6: Final answer
    x = 264,448.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.