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Finding the Third Proportional to 209,563 and 455,586

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Solution

The third proportional to 209,563 and 455,586 is: 990,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,563 : 455,586 = 455,586 : x
  2. Step 2: Convert to fraction form
    209,563/455,586 = 455,586/x
  3. Step 3: Cross multiply
    209,563x = 455,586 × 455,586
  4. Step 4: Simplify right side
    209,563x = 207,558,603,396
  5. Step 5: Solve for x
    x = 207,558,603,396/209,563
  6. Step 6: Final answer
    x = 990,435.35

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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.