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Finding the Third Proportional to 221,196 and 483,788

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Solution

The third proportional to 221,196 and 483,788 is: 1,058,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,196 : 483,788 = 483,788 : x
  2. Step 2: Convert to fraction form
    221,196/483,788 = 483,788/x
  3. Step 3: Cross multiply
    221,196x = 483,788 × 483,788
  4. Step 4: Simplify right side
    221,196x = 234,050,828,944
  5. Step 5: Solve for x
    x = 234,050,828,944/221,196
  6. Step 6: Final answer
    x = 1,058,115.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.