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Finding the Third Proportional to 118,421 and 254,410

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Solution

The third proportional to 118,421 and 254,410 is: 546,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,421 : 254,410 = 254,410 : x
  2. Step 2: Convert to fraction form
    118,421/254,410 = 254,410/x
  3. Step 3: Cross multiply
    118,421x = 254,410 × 254,410
  4. Step 4: Simplify right side
    118,421x = 64,724,448,100
  5. Step 5: Solve for x
    x = 64,724,448,100/118,421
  6. Step 6: Final answer
    x = 546,562.25

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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.