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Finding the Third Proportional to 223,490 and 475,787

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Solution

The third proportional to 223,490 and 475,787 is: 1,012,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,490 : 475,787 = 475,787 : x
  2. Step 2: Convert to fraction form
    223,490/475,787 = 475,787/x
  3. Step 3: Cross multiply
    223,490x = 475,787 × 475,787
  4. Step 4: Simplify right side
    223,490x = 226,373,269,369
  5. Step 5: Solve for x
    x = 226,373,269,369/223,490
  6. Step 6: Final answer
    x = 1,012,901.11

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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.