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Finding the Third Proportional to 243,143 and 368,064

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Solution

The third proportional to 243,143 and 368,064 is: 557,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,143 : 368,064 = 368,064 : x
  2. Step 2: Convert to fraction form
    243,143/368,064 = 368,064/x
  3. Step 3: Cross multiply
    243,143x = 368,064 × 368,064
  4. Step 4: Simplify right side
    243,143x = 135,471,108,096
  5. Step 5: Solve for x
    x = 135,471,108,096/243,143
  6. Step 6: Final answer
    x = 557,166.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.