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Finding the Third Proportional to 258,970 and 610,458

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Solution

The third proportional to 258,970 and 610,458 is: 1,439,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,970 : 610,458 = 610,458 : x
  2. Step 2: Convert to fraction form
    258,970/610,458 = 610,458/x
  3. Step 3: Cross multiply
    258,970x = 610,458 × 610,458
  4. Step 4: Simplify right side
    258,970x = 372,658,969,764
  5. Step 5: Solve for x
    x = 372,658,969,764/258,970
  6. Step 6: Final answer
    x = 1,439,004.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.