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Finding the Third Proportional to 288,380,988 and 446,820,698.25

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Solution

The third proportional to 288,380,988 and 446,820,698.25 is: 692,308,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,380,988 : 446,820,698.25 = 446,820,698.25 : x
  2. Step 2: Convert to fraction form
    288,380,988/446,820,698.25 = 446,820,698.25/x
  3. Step 3: Cross multiply
    288,380,988x = 446,820,698.25 × 446,820,698.25
  4. Step 4: Simplify right side
    288,380,988x = 199,648,736,384,617,568
  5. Step 5: Solve for x
    x = 199,648,736,384,617,568/288,380,988
  6. Step 6: Final answer
    x = 692,308,940.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.