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Finding the Third Proportional to 538,902 and 830,817

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Solution

The third proportional to 538,902 and 830,817 is: 1,280,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,902 : 830,817 = 830,817 : x
  2. Step 2: Convert to fraction form
    538,902/830,817 = 830,817/x
  3. Step 3: Cross multiply
    538,902x = 830,817 × 830,817
  4. Step 4: Simplify right side
    538,902x = 690,256,887,489
  5. Step 5: Solve for x
    x = 690,256,887,489/538,902
  6. Step 6: Final answer
    x = 1,280,857.91

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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.