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Finding the Third Proportional to 313,070 and 677,188

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Solution

The third proportional to 313,070 and 677,188 is: 1,464,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,070 : 677,188 = 677,188 : x
  2. Step 2: Convert to fraction form
    313,070/677,188 = 677,188/x
  3. Step 3: Cross multiply
    313,070x = 677,188 × 677,188
  4. Step 4: Simplify right side
    313,070x = 458,583,587,344
  5. Step 5: Solve for x
    x = 458,583,587,344/313,070
  6. Step 6: Final answer
    x = 1,464,795.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.