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Finding the Third Proportional to 214,128 and 470,625

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Solution

The third proportional to 214,128 and 470,625 is: 1,034,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,128 : 470,625 = 470,625 : x
  2. Step 2: Convert to fraction form
    214,128/470,625 = 470,625/x
  3. Step 3: Cross multiply
    214,128x = 470,625 × 470,625
  4. Step 4: Simplify right side
    214,128x = 221,487,890,625
  5. Step 5: Solve for x
    x = 221,487,890,625/214,128
  6. Step 6: Final answer
    x = 1,034,371.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.