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Finding the Third Proportional to 499,032 and 810,836

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Solution

The third proportional to 499,032 and 810,836 is: 1,317,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,032 : 810,836 = 810,836 : x
  2. Step 2: Convert to fraction form
    499,032/810,836 = 810,836/x
  3. Step 3: Cross multiply
    499,032x = 810,836 × 810,836
  4. Step 4: Simplify right side
    499,032x = 657,455,018,896
  5. Step 5: Solve for x
    x = 657,455,018,896/499,032
  6. Step 6: Final answer
    x = 1,317,460.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.