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Finding the Third Proportional to 121,288,378 and 198,032,025

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Solution

The third proportional to 121,288,378 and 198,032,025 is: 323,334,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,288,378 : 198,032,025 = 198,032,025 : x
  2. Step 2: Convert to fraction form
    121,288,378/198,032,025 = 198,032,025/x
  3. Step 3: Cross multiply
    121,288,378x = 198,032,025 × 198,032,025
  4. Step 4: Simplify right side
    121,288,378x = 39,216,682,925,600,624
  5. Step 5: Solve for x
    x = 39,216,682,925,600,624/121,288,378
  6. Step 6: Final answer
    x = 323,334,218.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.