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Finding the Third Proportional to 386,967.75 and 557,379

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Solution

The third proportional to 386,967.75 and 557,379 is: 802,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,967.75 : 557,379 = 557,379 : x
  2. Step 2: Convert to fraction form
    386,967.75/557,379 = 557,379/x
  3. Step 3: Cross multiply
    386,967.75x = 557,379 × 557,379
  4. Step 4: Simplify right side
    386,967.75x = 310,671,349,641
  5. Step 5: Solve for x
    x = 310,671,349,641/386,967.75
  6. Step 6: Final answer
    x = 802,835.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.