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Finding the Third Proportional to 219,088 and 313,080

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Solution

The third proportional to 219,088 and 313,080 is: 447,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,088 : 313,080 = 313,080 : x
  2. Step 2: Convert to fraction form
    219,088/313,080 = 313,080/x
  3. Step 3: Cross multiply
    219,088x = 313,080 × 313,080
  4. Step 4: Simplify right side
    219,088x = 98,019,086,400
  5. Step 5: Solve for x
    x = 98,019,086,400/219,088
  6. Step 6: Final answer
    x = 447,395.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.