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Finding the Third Proportional to 130,280,474 and 198,477,197

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Solution

The third proportional to 130,280,474 and 198,477,197 is: 302,372,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,280,474 : 198,477,197 = 198,477,197 : x
  2. Step 2: Convert to fraction form
    130,280,474/198,477,197 = 198,477,197/x
  3. Step 3: Cross multiply
    130,280,474x = 198,477,197 × 198,477,197
  4. Step 4: Simplify right side
    130,280,474x = 39,393,197,728,976,808
  5. Step 5: Solve for x
    x = 39,393,197,728,976,808/130,280,474
  6. Step 6: Final answer
    x = 302,372,232.15

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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.