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Finding the Third Proportional to 103,650 and 223,840

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Solution

The third proportional to 103,650 and 223,840 is: 483,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650 : 223,840 = 223,840 : x
  2. Step 2: Convert to fraction form
    103,650/223,840 = 223,840/x
  3. Step 3: Cross multiply
    103,650x = 223,840 × 223,840
  4. Step 4: Simplify right side
    103,650x = 50,104,345,600
  5. Step 5: Solve for x
    x = 50,104,345,600/103,650
  6. Step 6: Final answer
    x = 483,399.38

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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.