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Finding the Third Proportional to 128,022.75 and 193,802.63

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Solution

The third proportional to 128,022.75 and 193,802.63 is: 293,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022.75 : 193,802.63 = 193,802.63 : x
  2. Step 2: Convert to fraction form
    128,022.75/193,802.63 = 193,802.63/x
  3. Step 3: Cross multiply
    128,022.75x = 193,802.63 × 193,802.63
  4. Step 4: Simplify right side
    128,022.75x = 37,559,457,456.89
  5. Step 5: Solve for x
    x = 37,559,457,456.89/128,022.75
  6. Step 6: Final answer
    x = 293,381.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.