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Finding the Third Proportional to 538,420 and 830,094

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Solution

The third proportional to 538,420 and 830,094 is: 1,279,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,420 : 830,094 = 830,094 : x
  2. Step 2: Convert to fraction form
    538,420/830,094 = 830,094/x
  3. Step 3: Cross multiply
    538,420x = 830,094 × 830,094
  4. Step 4: Simplify right side
    538,420x = 689,056,048,836
  5. Step 5: Solve for x
    x = 689,056,048,836/538,420
  6. Step 6: Final answer
    x = 1,279,774.24

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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.