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Finding the Third Proportional to 223,440.75 and 478,860.75

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Solution

The third proportional to 223,440.75 and 478,860.75 is: 1,026,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,440.75 : 478,860.75 = 478,860.75 : x
  2. Step 2: Convert to fraction form
    223,440.75/478,860.75 = 478,860.75/x
  3. Step 3: Cross multiply
    223,440.75x = 478,860.75 × 478,860.75
  4. Step 4: Simplify right side
    223,440.75x = 229,307,617,890.56
  5. Step 5: Solve for x
    x = 229,307,617,890.56/223,440.75
  6. Step 6: Final answer
    x = 1,026,256.93

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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.