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Finding the Third Proportional to 313,080 and 419,430

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Solution

The third proportional to 313,080 and 419,430 is: 561,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,080 : 419,430 = 419,430 : x
  2. Step 2: Convert to fraction form
    313,080/419,430 = 419,430/x
  3. Step 3: Cross multiply
    313,080x = 419,430 × 419,430
  4. Step 4: Simplify right side
    313,080x = 175,921,524,900
  5. Step 5: Solve for x
    x = 175,921,524,900/313,080
  6. Step 6: Final answer
    x = 561,905.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.