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Finding the Third Proportional to 55,345.50 and 121,455

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Solution

The third proportional to 55,345.50 and 121,455 is: 266,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,345.50 : 121,455 = 121,455 : x
  2. Step 2: Convert to fraction form
    55,345.50/121,455 = 121,455/x
  3. Step 3: Cross multiply
    55,345.50x = 121,455 × 121,455
  4. Step 4: Simplify right side
    55,345.50x = 14,751,317,025
  5. Step 5: Solve for x
    x = 14,751,317,025/55,345.50
  6. Step 6: Final answer
    x = 266,531.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.