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Finding the Third Proportional to 135,814,320 and 294,191,315.25

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Solution

The third proportional to 135,814,320 and 294,191,315.25 is: 637,256,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814,320 : 294,191,315.25 = 294,191,315.25 : x
  2. Step 2: Convert to fraction form
    135,814,320/294,191,315.25 = 294,191,315.25/x
  3. Step 3: Cross multiply
    135,814,320x = 294,191,315.25 × 294,191,315.25
  4. Step 4: Simplify right side
    135,814,320x = 86,548,529,968,524,880
  5. Step 5: Solve for x
    x = 86,548,529,968,524,880/135,814,320
  6. Step 6: Final answer
    x = 637,256,292.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.