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Finding the Third Proportional to 128,298.94 and 201,259.69

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Solution

The third proportional to 128,298.94 and 201,259.69 is: 315,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,298.94 : 201,259.69 = 201,259.69 : x
  2. Step 2: Convert to fraction form
    128,298.94/201,259.69 = 201,259.69/x
  3. Step 3: Cross multiply
    128,298.94x = 201,259.69 × 201,259.69
  4. Step 4: Simplify right side
    128,298.94x = 40,505,461,812.60
  5. Step 5: Solve for x
    x = 40,505,461,812.60/128,298.94
  6. Step 6: Final answer
    x = 315,711.59

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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.