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Finding the Third Proportional to 209,064 and 455,424

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Solution

The third proportional to 209,064 and 455,424 is: 992,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,064 : 455,424 = 455,424 : x
  2. Step 2: Convert to fraction form
    209,064/455,424 = 455,424/x
  3. Step 3: Cross multiply
    209,064x = 455,424 × 455,424
  4. Step 4: Simplify right side
    209,064x = 207,411,019,776
  5. Step 5: Solve for x
    x = 207,411,019,776/209,064
  6. Step 6: Final answer
    x = 992,093.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.