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Finding the Third Proportional to 216,117 and 347,242

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Solution

The third proportional to 216,117 and 347,242 is: 557,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,117 : 347,242 = 347,242 : x
  2. Step 2: Convert to fraction form
    216,117/347,242 = 347,242/x
  3. Step 3: Cross multiply
    216,117x = 347,242 × 347,242
  4. Step 4: Simplify right side
    216,117x = 120,577,006,564
  5. Step 5: Solve for x
    x = 120,577,006,564/216,117
  6. Step 6: Final answer
    x = 557,924.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.