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Finding the Third Proportional to 128,784.19 and 189,317.53

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Solution

The third proportional to 128,784.19 and 189,317.53 is: 278,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,784.19 : 189,317.53 = 189,317.53 : x
  2. Step 2: Convert to fraction form
    128,784.19/189,317.53 = 189,317.53/x
  3. Step 3: Cross multiply
    128,784.19x = 189,317.53 × 189,317.53
  4. Step 4: Simplify right side
    128,784.19x = 35,841,125,974.67
  5. Step 5: Solve for x
    x = 35,841,125,974.67/128,784.19
  6. Step 6: Final answer
    x = 278,303.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.