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Finding the Third Proportional to 130,280,470 and 198,477,190

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Solution

The third proportional to 130,280,470 and 198,477,190 is: 302,372,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,280,470 : 198,477,190 = 198,477,190 : x
  2. Step 2: Convert to fraction form
    130,280,470/198,477,190 = 198,477,190/x
  3. Step 3: Cross multiply
    130,280,470x = 198,477,190 × 198,477,190
  4. Step 4: Simplify right side
    130,280,470x = 39,393,194,950,296,096
  5. Step 5: Solve for x
    x = 39,393,194,950,296,096/130,280,470
  6. Step 6: Final answer
    x = 302,372,220.11

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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.