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Finding the Third Proportional to 223,421.63 and 478,824.75

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Solution

The third proportional to 223,421.63 and 478,824.75 is: 1,026,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,421.63 : 478,824.75 = 478,824.75 : x
  2. Step 2: Convert to fraction form
    223,421.63/478,824.75 = 478,824.75/x
  3. Step 3: Cross multiply
    223,421.63x = 478,824.75 × 478,824.75
  4. Step 4: Simplify right side
    223,421.63x = 229,273,141,212.56
  5. Step 5: Solve for x
    x = 229,273,141,212.56/223,421.63
  6. Step 6: Final answer
    x = 1,026,190.46

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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.