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Finding the Third Proportional to 130,280,478 and 198,477,203

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Solution

The third proportional to 130,280,478 and 198,477,203 is: 302,372,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,280,478 : 198,477,203 = 198,477,203 : x
  2. Step 2: Convert to fraction form
    130,280,478/198,477,203 = 198,477,203/x
  3. Step 3: Cross multiply
    130,280,478x = 198,477,203 × 198,477,203
  4. Step 4: Simplify right side
    130,280,478x = 39,393,200,110,703,208
  5. Step 5: Solve for x
    x = 39,393,200,110,703,208/130,280,478
  6. Step 6: Final answer
    x = 302,372,241.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.