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Finding the Third Proportional to 223,374 and 481,738.50

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Solution

The third proportional to 223,374 and 481,738.50 is: 1,038,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,374 : 481,738.50 = 481,738.50 : x
  2. Step 2: Convert to fraction form
    223,374/481,738.50 = 481,738.50/x
  3. Step 3: Cross multiply
    223,374x = 481,738.50 × 481,738.50
  4. Step 4: Simplify right side
    223,374x = 232,071,982,382.25
  5. Step 5: Solve for x
    x = 232,071,982,382.25/223,374
  6. Step 6: Final answer
    x = 1,038,939.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.