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Finding the Third Proportional to 128,362 and 286,238.50

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Solution

The third proportional to 128,362 and 286,238.50 is: 638,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,362 : 286,238.50 = 286,238.50 : x
  2. Step 2: Convert to fraction form
    128,362/286,238.50 = 286,238.50/x
  3. Step 3: Cross multiply
    128,362x = 286,238.50 × 286,238.50
  4. Step 4: Simplify right side
    128,362x = 81,932,478,882.25
  5. Step 5: Solve for x
    x = 81,932,478,882.25/128,362
  6. Step 6: Final answer
    x = 638,292.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.