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Finding the Third Proportional to 208,580 and 456,364

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Solution

The third proportional to 208,580 and 456,364 is: 998,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580 : 456,364 = 456,364 : x
  2. Step 2: Convert to fraction form
    208,580/456,364 = 456,364/x
  3. Step 3: Cross multiply
    208,580x = 456,364 × 456,364
  4. Step 4: Simplify right side
    208,580x = 208,268,100,496
  5. Step 5: Solve for x
    x = 208,268,100,496/208,580
  6. Step 6: Final answer
    x = 998,504.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.