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Finding the Third Proportional to 108,444 and 223,584

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Solution

The third proportional to 108,444 and 223,584 is: 460,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,444 : 223,584 = 223,584 : x
  2. Step 2: Convert to fraction form
    108,444/223,584 = 223,584/x
  3. Step 3: Cross multiply
    108,444x = 223,584 × 223,584
  4. Step 4: Simplify right side
    108,444x = 49,989,805,056
  5. Step 5: Solve for x
    x = 49,989,805,056/108,444
  6. Step 6: Final answer
    x = 460,973.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.