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Finding the Third Proportional to 258,574 and 399,387

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Solution

The third proportional to 258,574 and 399,387 is: 616,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,574 : 399,387 = 399,387 : x
  2. Step 2: Convert to fraction form
    258,574/399,387 = 399,387/x
  3. Step 3: Cross multiply
    258,574x = 399,387 × 399,387
  4. Step 4: Simplify right side
    258,574x = 159,509,975,769
  5. Step 5: Solve for x
    x = 159,509,975,769/258,574
  6. Step 6: Final answer
    x = 616,883.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.