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Finding the Third Proportional to 313,378 and 477,409

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Solution

The third proportional to 313,378 and 477,409 is: 727,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,378 : 477,409 = 477,409 : x
  2. Step 2: Convert to fraction form
    313,378/477,409 = 477,409/x
  3. Step 3: Cross multiply
    313,378x = 477,409 × 477,409
  4. Step 4: Simplify right side
    313,378x = 227,919,353,281
  5. Step 5: Solve for x
    x = 227,919,353,281/313,378
  6. Step 6: Final answer
    x = 727,298.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.