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Finding the Third Proportional to 301,390 and 409,314

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Solution

The third proportional to 301,390 and 409,314 is: 555,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,390 : 409,314 = 409,314 : x
  2. Step 2: Convert to fraction form
    301,390/409,314 = 409,314/x
  3. Step 3: Cross multiply
    301,390x = 409,314 × 409,314
  4. Step 4: Simplify right side
    301,390x = 167,537,950,596
  5. Step 5: Solve for x
    x = 167,537,950,596/301,390
  6. Step 6: Final answer
    x = 555,884.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.