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Finding the Third Proportional to 208,565 and 455,382

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Solution

The third proportional to 208,565 and 455,382 is: 994,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565 : 455,382 = 455,382 : x
  2. Step 2: Convert to fraction form
    208,565/455,382 = 455,382/x
  3. Step 3: Cross multiply
    208,565x = 455,382 × 455,382
  4. Step 4: Simplify right side
    208,565x = 207,372,765,924
  5. Step 5: Solve for x
    x = 207,372,765,924/208,565
  6. Step 6: Final answer
    x = 994,283.63

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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.