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Finding the Third Proportional to 136,360 and 298,240

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Solution

The third proportional to 136,360 and 298,240 is: 652,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,360 : 298,240 = 298,240 : x
  2. Step 2: Convert to fraction form
    136,360/298,240 = 298,240/x
  3. Step 3: Cross multiply
    136,360x = 298,240 × 298,240
  4. Step 4: Simplify right side
    136,360x = 88,947,097,600
  5. Step 5: Solve for x
    x = 88,947,097,600/136,360
  6. Step 6: Final answer
    x = 652,296.11

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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.