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Finding the Third Proportional to 209,734,609.50 and 315,477,556.50

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Solution

The third proportional to 209,734,609.50 and 315,477,556.50 is: 474,533,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,734,609.50 : 315,477,556.50 = 315,477,556.50 : x
  2. Step 2: Convert to fraction form
    209,734,609.50/315,477,556.50 = 315,477,556.50/x
  3. Step 3: Cross multiply
    209,734,609.50x = 315,477,556.50 × 315,477,556.50
  4. Step 4: Simplify right side
    209,734,609.50x = 99,526,088,655,210,688
  5. Step 5: Solve for x
    x = 99,526,088,655,210,688/209,734,609.50
  6. Step 6: Final answer
    x = 474,533,453.93

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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.