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Finding the Third Proportional to 118,431 and 254,430

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Solution

The third proportional to 118,431 and 254,430 is: 546,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,431 : 254,430 = 254,430 : x
  2. Step 2: Convert to fraction form
    118,431/254,430 = 254,430/x
  3. Step 3: Cross multiply
    118,431x = 254,430 × 254,430
  4. Step 4: Simplify right side
    118,431x = 64,734,624,900
  5. Step 5: Solve for x
    x = 64,734,624,900/118,431
  6. Step 6: Final answer
    x = 546,602.03

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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.