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Finding the Third Proportional to 549,185 and 821,788.50

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Solution

The third proportional to 549,185 and 821,788.50 is: 1,229,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,185 : 821,788.50 = 821,788.50 : x
  2. Step 2: Convert to fraction form
    549,185/821,788.50 = 821,788.50/x
  3. Step 3: Cross multiply
    549,185x = 821,788.50 × 821,788.50
  4. Step 4: Simplify right side
    549,185x = 675,336,338,732.25
  5. Step 5: Solve for x
    x = 675,336,338,732.25/549,185
  6. Step 6: Final answer
    x = 1,229,706.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.