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Finding the Third Proportional to 551,340 and 1,187,157

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Solution

The third proportional to 551,340 and 1,187,157 is: 2,556,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,340 : 1,187,157 = 1,187,157 : x
  2. Step 2: Convert to fraction form
    551,340/1,187,157 = 1,187,157/x
  3. Step 3: Cross multiply
    551,340x = 1,187,157 × 1,187,157
  4. Step 4: Simplify right side
    551,340x = 1,409,341,742,649
  5. Step 5: Solve for x
    x = 1,409,341,742,649/551,340
  6. Step 6: Final answer
    x = 2,556,211.67

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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.