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Finding the Third Proportional to 309,865.50 and 664,929

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Solution

The third proportional to 309,865.50 and 664,929 is: 1,426,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,865.50 : 664,929 = 664,929 : x
  2. Step 2: Convert to fraction form
    309,865.50/664,929 = 664,929/x
  3. Step 3: Cross multiply
    309,865.50x = 664,929 × 664,929
  4. Step 4: Simplify right side
    309,865.50x = 442,130,575,041
  5. Step 5: Solve for x
    x = 442,130,575,041/309,865.50
  6. Step 6: Final answer
    x = 1,426,846.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.