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Finding the Third Proportional to 214,242 and 438,312

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Solution

The third proportional to 214,242 and 438,312 is: 896,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,242 : 438,312 = 438,312 : x
  2. Step 2: Convert to fraction form
    214,242/438,312 = 438,312/x
  3. Step 3: Cross multiply
    214,242x = 438,312 × 438,312
  4. Step 4: Simplify right side
    214,242x = 192,117,409,344
  5. Step 5: Solve for x
    x = 192,117,409,344/214,242
  6. Step 6: Final answer
    x = 896,730.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.