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Finding the Third Proportional to 356,640.75 and 554,005.25

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Solution

The third proportional to 356,640.75 and 554,005.25 is: 860,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,640.75 : 554,005.25 = 554,005.25 : x
  2. Step 2: Convert to fraction form
    356,640.75/554,005.25 = 554,005.25/x
  3. Step 3: Cross multiply
    356,640.75x = 554,005.25 × 554,005.25
  4. Step 4: Simplify right side
    356,640.75x = 306,921,817,027.56
  5. Step 5: Solve for x
    x = 306,921,817,027.56/356,640.75
  6. Step 6: Final answer
    x = 860,590.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.