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Finding the Third Proportional to 258,572 and 399,384

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Solution

The third proportional to 258,572 and 399,384 is: 616,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,572 : 399,384 = 399,384 : x
  2. Step 2: Convert to fraction form
    258,572/399,384 = 399,384/x
  3. Step 3: Cross multiply
    258,572x = 399,384 × 399,384
  4. Step 4: Simplify right side
    258,572x = 159,507,579,456
  5. Step 5: Solve for x
    x = 159,507,579,456/258,572
  6. Step 6: Final answer
    x = 616,878.78

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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.