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Finding the Third Proportional to 309,255 and 670,989

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Solution

The third proportional to 309,255 and 670,989 is: 1,455,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,255 : 670,989 = 670,989 : x
  2. Step 2: Convert to fraction form
    309,255/670,989 = 670,989/x
  3. Step 3: Cross multiply
    309,255x = 670,989 × 670,989
  4. Step 4: Simplify right side
    309,255x = 450,226,238,121
  5. Step 5: Solve for x
    x = 450,226,238,121/309,255
  6. Step 6: Final answer
    x = 1,455,841.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.