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Finding the Third Proportional to 128,574 and 286,956

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Solution

The third proportional to 128,574 and 286,956 is: 640,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,574 : 286,956 = 286,956 : x
  2. Step 2: Convert to fraction form
    128,574/286,956 = 286,956/x
  3. Step 3: Cross multiply
    128,574x = 286,956 × 286,956
  4. Step 4: Simplify right side
    128,574x = 82,343,745,936
  5. Step 5: Solve for x
    x = 82,343,745,936/128,574
  6. Step 6: Final answer
    x = 640,438.55

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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.