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Finding the Third Proportional to 286,972.88 and 414,840.38

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Solution

The third proportional to 286,972.88 and 414,840.38 is: 599,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,972.88 : 414,840.38 = 414,840.38 : x
  2. Step 2: Convert to fraction form
    286,972.88/414,840.38 = 414,840.38/x
  3. Step 3: Cross multiply
    286,972.88x = 414,840.38 × 414,840.38
  4. Step 4: Simplify right side
    286,972.88x = 172,092,536,730.14
  5. Step 5: Solve for x
    x = 172,092,536,730.14/286,972.88
  6. Step 6: Final answer
    x = 599,682.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.