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Finding the Third Proportional to 268,530,078 and 414,657,415

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Solution

The third proportional to 268,530,078 and 414,657,415 is: 640,303,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530,078 : 414,657,415 = 414,657,415 : x
  2. Step 2: Convert to fraction form
    268,530,078/414,657,415 = 414,657,415/x
  3. Step 3: Cross multiply
    268,530,078x = 414,657,415 × 414,657,415
  4. Step 4: Simplify right side
    268,530,078x = 171,940,771,814,482,240
  5. Step 5: Solve for x
    x = 171,940,771,814,482,240/268,530,078
  6. Step 6: Final answer
    x = 640,303,585.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.