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Finding the Third Proportional to 133,826,050 and 204,585,550

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Solution

The third proportional to 133,826,050 and 204,585,550 is: 312,758,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,826,050 : 204,585,550 = 204,585,550 : x
  2. Step 2: Convert to fraction form
    133,826,050/204,585,550 = 204,585,550/x
  3. Step 3: Cross multiply
    133,826,050x = 204,585,550 × 204,585,550
  4. Step 4: Simplify right side
    133,826,050x = 41,855,247,268,802,496
  5. Step 5: Solve for x
    x = 41,855,247,268,802,496/133,826,050
  6. Step 6: Final answer
    x = 312,758,594.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.