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Finding the Third Proportional to 128,693 and 202,087.50

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Solution

The third proportional to 128,693 and 202,087.50 is: 317,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,693 : 202,087.50 = 202,087.50 : x
  2. Step 2: Convert to fraction form
    128,693/202,087.50 = 202,087.50/x
  3. Step 3: Cross multiply
    128,693x = 202,087.50 × 202,087.50
  4. Step 4: Simplify right side
    128,693x = 40,839,357,656.25
  5. Step 5: Solve for x
    x = 40,839,357,656.25/128,693
  6. Step 6: Final answer
    x = 317,339.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.