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Finding the Third Proportional to 84,020 and 121,062

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Solution

The third proportional to 84,020 and 121,062 is: 174,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,020 : 121,062 = 121,062 : x
  2. Step 2: Convert to fraction form
    84,020/121,062 = 121,062/x
  3. Step 3: Cross multiply
    84,020x = 121,062 × 121,062
  4. Step 4: Simplify right side
    84,020x = 14,656,007,844
  5. Step 5: Solve for x
    x = 14,656,007,844/84,020
  6. Step 6: Final answer
    x = 174,434.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.