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Finding the Third Proportional to 380,509.88 and 819,886.50

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Solution

The third proportional to 380,509.88 and 819,886.50 is: 1,766,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,509.88 : 819,886.50 = 819,886.50 : x
  2. Step 2: Convert to fraction form
    380,509.88/819,886.50 = 819,886.50/x
  3. Step 3: Cross multiply
    380,509.88x = 819,886.50 × 819,886.50
  4. Step 4: Simplify right side
    380,509.88x = 672,213,872,882.25
  5. Step 5: Solve for x
    x = 672,213,872,882.25/380,509.88
  6. Step 6: Final answer
    x = 1,766,613.48

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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.