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Finding the Third Proportional to 399,116 and 602,821

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Solution

The third proportional to 399,116 and 602,821 is: 910,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,116 : 602,821 = 602,821 : x
  2. Step 2: Convert to fraction form
    399,116/602,821 = 602,821/x
  3. Step 3: Cross multiply
    399,116x = 602,821 × 602,821
  4. Step 4: Simplify right side
    399,116x = 363,393,158,041
  5. Step 5: Solve for x
    x = 363,393,158,041/399,116
  6. Step 6: Final answer
    x = 910,495.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.