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Finding the Third Proportional to 214,470 and 423,556

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Solution

The third proportional to 214,470 and 423,556 is: 836,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,470 : 423,556 = 423,556 : x
  2. Step 2: Convert to fraction form
    214,470/423,556 = 423,556/x
  3. Step 3: Cross multiply
    214,470x = 423,556 × 423,556
  4. Step 4: Simplify right side
    214,470x = 179,399,685,136
  5. Step 5: Solve for x
    x = 179,399,685,136/214,470
  6. Step 6: Final answer
    x = 836,479.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.