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Finding the Third Proportional to 243,101 and 368,009

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Solution

The third proportional to 243,101 and 368,009 is: 557,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,101 : 368,009 = 368,009 : x
  2. Step 2: Convert to fraction form
    243,101/368,009 = 368,009/x
  3. Step 3: Cross multiply
    243,101x = 368,009 × 368,009
  4. Step 4: Simplify right side
    243,101x = 135,430,624,081
  5. Step 5: Solve for x
    x = 135,430,624,081/243,101
  6. Step 6: Final answer
    x = 557,096.12

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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.