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Finding the Third Proportional to 3,743,780.50 and 5,349,948.94

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Solution

The third proportional to 3,743,780.50 and 5,349,948.94 is: 7,645,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,780.50 : 5,349,948.94 = 5,349,948.94 : x
  2. Step 2: Convert to fraction form
    3,743,780.50/5,349,948.94 = 5,349,948.94/x
  3. Step 3: Cross multiply
    3,743,780.50x = 5,349,948.94 × 5,349,948.94
  4. Step 4: Simplify right side
    3,743,780.50x = 28,621,953,633,857.38
  5. Step 5: Solve for x
    x = 28,621,953,633,857.38/3,743,780.50
  6. Step 6: Final answer
    x = 7,645,200.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.