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Finding the Third Proportional to 10,869,265.50 and 23,440,936.50

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Solution

The third proportional to 10,869,265.50 and 23,440,936.50 is: 50,553,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869,265.50 : 23,440,936.50 = 23,440,936.50 : x
  2. Step 2: Convert to fraction form
    10,869,265.50/23,440,936.50 = 23,440,936.50/x
  3. Step 3: Cross multiply
    10,869,265.50x = 23,440,936.50 × 23,440,936.50
  4. Step 4: Simplify right side
    10,869,265.50x = 549,477,503,997,032.25
  5. Step 5: Solve for x
    x = 549,477,503,997,032.25/10,869,265.50
  6. Step 6: Final answer
    x = 50,553,324.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.