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Finding the Third Proportional to 243,090 and 367,988

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Solution

The third proportional to 243,090 and 367,988 is: 557,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,090 : 367,988 = 367,988 : x
  2. Step 2: Convert to fraction form
    243,090/367,988 = 367,988/x
  3. Step 3: Cross multiply
    243,090x = 367,988 × 367,988
  4. Step 4: Simplify right side
    243,090x = 135,415,168,144
  5. Step 5: Solve for x
    x = 135,415,168,144/243,090
  6. Step 6: Final answer
    x = 557,057.75

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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.