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Finding the Third Proportional to 204,106,380 and 315,184,224

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Solution

The third proportional to 204,106,380 and 315,184,224 is: 486,712,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,106,380 : 315,184,224 = 315,184,224 : x
  2. Step 2: Convert to fraction form
    204,106,380/315,184,224 = 315,184,224/x
  3. Step 3: Cross multiply
    204,106,380x = 315,184,224 × 315,184,224
  4. Step 4: Simplify right side
    204,106,380x = 99,341,095,058,482,176
  5. Step 5: Solve for x
    x = 99,341,095,058,482,176/204,106,380
  6. Step 6: Final answer
    x = 486,712,346.07

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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.