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Finding the Third Proportional to 196,960 and 286,828

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Solution

The third proportional to 196,960 and 286,828 is: 417,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,960 : 286,828 = 286,828 : x
  2. Step 2: Convert to fraction form
    196,960/286,828 = 286,828/x
  3. Step 3: Cross multiply
    196,960x = 286,828 × 286,828
  4. Step 4: Simplify right side
    196,960x = 82,270,301,584
  5. Step 5: Solve for x
    x = 82,270,301,584/196,960
  6. Step 6: Final answer
    x = 417,700.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.