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Finding the Third Proportional to 258,360 and 554,091

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Solution

The third proportional to 258,360 and 554,091 is: 1,188,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,360 : 554,091 = 554,091 : x
  2. Step 2: Convert to fraction form
    258,360/554,091 = 554,091/x
  3. Step 3: Cross multiply
    258,360x = 554,091 × 554,091
  4. Step 4: Simplify right side
    258,360x = 307,016,836,281
  5. Step 5: Solve for x
    x = 307,016,836,281/258,360
  6. Step 6: Final answer
    x = 1,188,329.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.