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Finding the Third Proportional to 358,912 and 487,644

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Solution

The third proportional to 358,912 and 487,644 is: 662,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,912 : 487,644 = 487,644 : x
  2. Step 2: Convert to fraction form
    358,912/487,644 = 487,644/x
  3. Step 3: Cross multiply
    358,912x = 487,644 × 487,644
  4. Step 4: Simplify right side
    358,912x = 237,796,670,736
  5. Step 5: Solve for x
    x = 237,796,670,736/358,912
  6. Step 6: Final answer
    x = 662,548.68

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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.