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Finding the Third Proportional to 422,333 and 910,681

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Solution

The third proportional to 422,333 and 910,681 is: 1,963,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,333 : 910,681 = 910,681 : x
  2. Step 2: Convert to fraction form
    422,333/910,681 = 910,681/x
  3. Step 3: Cross multiply
    422,333x = 910,681 × 910,681
  4. Step 4: Simplify right side
    422,333x = 829,339,883,761
  5. Step 5: Solve for x
    x = 829,339,883,761/422,333
  6. Step 6: Final answer
    x = 1,963,710.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.