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Finding the Third Proportional to 219,488 and 471,712

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Solution

The third proportional to 219,488 and 471,712 is: 1,013,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,488 : 471,712 = 471,712 : x
  2. Step 2: Convert to fraction form
    219,488/471,712 = 471,712/x
  3. Step 3: Cross multiply
    219,488x = 471,712 × 471,712
  4. Step 4: Simplify right side
    219,488x = 222,512,210,944
  5. Step 5: Solve for x
    x = 222,512,210,944/219,488
  6. Step 6: Final answer
    x = 1,013,778.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.