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Finding the Third Proportional to 208,621 and 450,499

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Solution

The third proportional to 208,621 and 450,499 is: 972,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,621 : 450,499 = 450,499 : x
  2. Step 2: Convert to fraction form
    208,621/450,499 = 450,499/x
  3. Step 3: Cross multiply
    208,621x = 450,499 × 450,499
  4. Step 4: Simplify right side
    208,621x = 202,949,349,001
  5. Step 5: Solve for x
    x = 202,949,349,001/208,621
  6. Step 6: Final answer
    x = 972,813.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.