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Finding the Third Proportional to 277,291.50 and 428,165.25

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Solution

The third proportional to 277,291.50 and 428,165.25 is: 661,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,291.50 : 428,165.25 = 428,165.25 : x
  2. Step 2: Convert to fraction form
    277,291.50/428,165.25 = 428,165.25/x
  3. Step 3: Cross multiply
    277,291.50x = 428,165.25 × 428,165.25
  4. Step 4: Simplify right side
    277,291.50x = 183,325,481,307.56
  5. Step 5: Solve for x
    x = 183,325,481,307.56/277,291.50
  6. Step 6: Final answer
    x = 661,129.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.