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Finding the Third Proportional to 223,488 and 475,783

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Solution

The third proportional to 223,488 and 475,783 is: 1,012,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,488 : 475,783 = 475,783 : x
  2. Step 2: Convert to fraction form
    223,488/475,783 = 475,783/x
  3. Step 3: Cross multiply
    223,488x = 475,783 × 475,783
  4. Step 4: Simplify right side
    223,488x = 226,369,463,089
  5. Step 5: Solve for x
    x = 226,369,463,089/223,488
  6. Step 6: Final answer
    x = 1,012,893.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.