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Finding the Third Proportional to 218,004 and 487,029

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Solution

The third proportional to 218,004 and 487,029 is: 1,088,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,004 : 487,029 = 487,029 : x
  2. Step 2: Convert to fraction form
    218,004/487,029 = 487,029/x
  3. Step 3: Cross multiply
    218,004x = 487,029 × 487,029
  4. Step 4: Simplify right side
    218,004x = 237,197,246,841
  5. Step 5: Solve for x
    x = 237,197,246,841/218,004
  6. Step 6: Final answer
    x = 1,088,040.80

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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.