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Finding the Third Proportional to 243,088 and 367,985

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Solution

The third proportional to 243,088 and 367,985 is: 557,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,088 : 367,985 = 367,985 : x
  2. Step 2: Convert to fraction form
    243,088/367,985 = 367,985/x
  3. Step 3: Cross multiply
    243,088x = 367,985 × 367,985
  4. Step 4: Simplify right side
    243,088x = 135,412,960,225
  5. Step 5: Solve for x
    x = 135,412,960,225/243,088
  6. Step 6: Final answer
    x = 557,053.25

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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.