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Finding the Third Proportional to 216,454 and 294,872

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Solution

The third proportional to 216,454 and 294,872 is: 401,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,454 : 294,872 = 294,872 : x
  2. Step 2: Convert to fraction form
    216,454/294,872 = 294,872/x
  3. Step 3: Cross multiply
    216,454x = 294,872 × 294,872
  4. Step 4: Simplify right side
    216,454x = 86,949,496,384
  5. Step 5: Solve for x
    x = 86,949,496,384/216,454
  6. Step 6: Final answer
    x = 401,699.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.