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Finding the Third Proportional to 218,690 and 473,692

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Solution

The third proportional to 218,690 and 473,692 is: 1,026,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,690 : 473,692 = 473,692 : x
  2. Step 2: Convert to fraction form
    218,690/473,692 = 473,692/x
  3. Step 3: Cross multiply
    218,690x = 473,692 × 473,692
  4. Step 4: Simplify right side
    218,690x = 224,384,110,864
  5. Step 5: Solve for x
    x = 224,384,110,864/218,690
  6. Step 6: Final answer
    x = 1,026,037.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.