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Finding the Third Proportional to 216,122 and 347,248

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Solution

The third proportional to 216,122 and 347,248 is: 557,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,122 : 347,248 = 347,248 : x
  2. Step 2: Convert to fraction form
    216,122/347,248 = 347,248/x
  3. Step 3: Cross multiply
    216,122x = 347,248 × 347,248
  4. Step 4: Simplify right side
    216,122x = 120,581,173,504
  5. Step 5: Solve for x
    x = 120,581,173,504/216,122
  6. Step 6: Final answer
    x = 557,931.05

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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.