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Finding the Third Proportional to 214,089 and 307,890

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Solution

The third proportional to 214,089 and 307,890 is: 442,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,089 : 307,890 = 307,890 : x
  2. Step 2: Convert to fraction form
    214,089/307,890 = 307,890/x
  3. Step 3: Cross multiply
    214,089x = 307,890 × 307,890
  4. Step 4: Simplify right side
    214,089x = 94,796,252,100
  5. Step 5: Solve for x
    x = 94,796,252,100/214,089
  6. Step 6: Final answer
    x = 442,788.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.