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Finding the Third Proportional to 205,206.75 and 438,783.75

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Solution

The third proportional to 205,206.75 and 438,783.75 is: 938,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,206.75 : 438,783.75 = 438,783.75 : x
  2. Step 2: Convert to fraction form
    205,206.75/438,783.75 = 438,783.75/x
  3. Step 3: Cross multiply
    205,206.75x = 438,783.75 × 438,783.75
  4. Step 4: Simplify right side
    205,206.75x = 192,531,179,264.06
  5. Step 5: Solve for x
    x = 192,531,179,264.06/205,206.75
  6. Step 6: Final answer
    x = 938,230.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.