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Finding the Third Proportional to 118,498 and 254,510

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Solution

The third proportional to 118,498 and 254,510 is: 546,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,498 : 254,510 = 254,510 : x
  2. Step 2: Convert to fraction form
    118,498/254,510 = 254,510/x
  3. Step 3: Cross multiply
    118,498x = 254,510 × 254,510
  4. Step 4: Simplify right side
    118,498x = 64,775,340,100
  5. Step 5: Solve for x
    x = 64,775,340,100/118,498
  6. Step 6: Final answer
    x = 546,636.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.