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Finding the Third Proportional to 5,480,136 and 11,768,287.50

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Solution

The third proportional to 5,480,136 and 11,768,287.50 is: 25,271,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480,136 : 11,768,287.50 = 11,768,287.50 : x
  2. Step 2: Convert to fraction form
    5,480,136/11,768,287.50 = 11,768,287.50/x
  3. Step 3: Cross multiply
    5,480,136x = 11,768,287.50 × 11,768,287.50
  4. Step 4: Simplify right side
    5,480,136x = 138,492,590,682,656.25
  5. Step 5: Solve for x
    x = 138,492,590,682,656.25/5,480,136
  6. Step 6: Final answer
    x = 25,271,743.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.