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Finding the Third Proportional to 399,120 and 602,827

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Solution

The third proportional to 399,120 and 602,827 is: 910,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,120 : 602,827 = 602,827 : x
  2. Step 2: Convert to fraction form
    399,120/602,827 = 602,827/x
  3. Step 3: Cross multiply
    399,120x = 602,827 × 602,827
  4. Step 4: Simplify right side
    399,120x = 363,400,391,929
  5. Step 5: Solve for x
    x = 363,400,391,929/399,120
  6. Step 6: Final answer
    x = 910,504.09

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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.