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Finding the Third Proportional to 227,940 and 307,403

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Solution

The third proportional to 227,940 and 307,403 is: 414,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,940 : 307,403 = 307,403 : x
  2. Step 2: Convert to fraction form
    227,940/307,403 = 307,403/x
  3. Step 3: Cross multiply
    227,940x = 307,403 × 307,403
  4. Step 4: Simplify right side
    227,940x = 94,496,604,409
  5. Step 5: Solve for x
    x = 94,496,604,409/227,940
  6. Step 6: Final answer
    x = 414,567.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.