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Finding the Third Proportional to 392,985 and 802,458

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Solution

The third proportional to 392,985 and 802,458 is: 1,638,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,985 : 802,458 = 802,458 : x
  2. Step 2: Convert to fraction form
    392,985/802,458 = 802,458/x
  3. Step 3: Cross multiply
    392,985x = 802,458 × 802,458
  4. Step 4: Simplify right side
    392,985x = 643,938,841,764
  5. Step 5: Solve for x
    x = 643,938,841,764/392,985
  6. Step 6: Final answer
    x = 1,638,583.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.