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Finding the Third Proportional to 218,006 and 487,033

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Solution

The third proportional to 218,006 and 487,033 is: 1,088,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,006 : 487,033 = 487,033 : x
  2. Step 2: Convert to fraction form
    218,006/487,033 = 487,033/x
  3. Step 3: Cross multiply
    218,006x = 487,033 × 487,033
  4. Step 4: Simplify right side
    218,006x = 237,201,143,089
  5. Step 5: Solve for x
    x = 237,201,143,089/218,006
  6. Step 6: Final answer
    x = 1,088,048.69

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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.