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Finding the Third Proportional to 112,971 and 243,447

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Solution

The third proportional to 112,971 and 243,447 is: 524,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,971 : 243,447 = 243,447 : x
  2. Step 2: Convert to fraction form
    112,971/243,447 = 243,447/x
  3. Step 3: Cross multiply
    112,971x = 243,447 × 243,447
  4. Step 4: Simplify right side
    112,971x = 59,266,441,809
  5. Step 5: Solve for x
    x = 59,266,441,809/112,971
  6. Step 6: Final answer
    x = 524,616.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.