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Finding the Third Proportional to 309,100 and 677,312

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Solution

The third proportional to 309,100 and 677,312 is: 1,484,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,100 : 677,312 = 677,312 : x
  2. Step 2: Convert to fraction form
    309,100/677,312 = 677,312/x
  3. Step 3: Cross multiply
    309,100x = 677,312 × 677,312
  4. Step 4: Simplify right side
    309,100x = 458,751,545,344
  5. Step 5: Solve for x
    x = 458,751,545,344/309,100
  6. Step 6: Final answer
    x = 1,484,152.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.