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Finding the Third Proportional to 5,290,945 and 7,450,851.75

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Solution

The third proportional to 5,290,945 and 7,450,851.75 is: 10,492,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290,945 : 7,450,851.75 = 7,450,851.75 : x
  2. Step 2: Convert to fraction form
    5,290,945/7,450,851.75 = 7,450,851.75/x
  3. Step 3: Cross multiply
    5,290,945x = 7,450,851.75 × 7,450,851.75
  4. Step 4: Simplify right side
    5,290,945x = 55,515,191,800,478.06
  5. Step 5: Solve for x
    x = 55,515,191,800,478.06/5,290,945
  6. Step 6: Final answer
    x = 10,492,490.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.