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Finding the Third Proportional to 277,409 and 406,237

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Solution

The third proportional to 277,409 and 406,237 is: 594,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,409 : 406,237 = 406,237 : x
  2. Step 2: Convert to fraction form
    277,409/406,237 = 406,237/x
  3. Step 3: Cross multiply
    277,409x = 406,237 × 406,237
  4. Step 4: Simplify right side
    277,409x = 165,028,500,169
  5. Step 5: Solve for x
    x = 165,028,500,169/277,409
  6. Step 6: Final answer
    x = 594,892.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.