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Finding the Third Proportional to 909,184.50 and 1,391,448.38

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Solution

The third proportional to 909,184.50 and 1,391,448.38 is: 2,129,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,184.50 : 1,391,448.38 = 1,391,448.38 : x
  2. Step 2: Convert to fraction form
    909,184.50/1,391,448.38 = 1,391,448.38/x
  3. Step 3: Cross multiply
    909,184.50x = 1,391,448.38 × 1,391,448.38
  4. Step 4: Simplify right side
    909,184.50x = 1,936,128,580,290.14
  5. Step 5: Solve for x
    x = 1,936,128,580,290.14/909,184.50
  6. Step 6: Final answer
    x = 2,129,522.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.