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Finding the Third Proportional to 338,300 and 727,630

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Solution

The third proportional to 338,300 and 727,630 is: 1,565,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,300 : 727,630 = 727,630 : x
  2. Step 2: Convert to fraction form
    338,300/727,630 = 727,630/x
  3. Step 3: Cross multiply
    338,300x = 727,630 × 727,630
  4. Step 4: Simplify right side
    338,300x = 529,445,416,900
  5. Step 5: Solve for x
    x = 529,445,416,900/338,300
  6. Step 6: Final answer
    x = 1,565,017.49

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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.