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Finding the Third Proportional to 3,290,145.66 and 7,100,509.31

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Solution

The third proportional to 3,290,145.66 and 7,100,509.31 is: 15,323,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290,145.66 : 7,100,509.31 = 7,100,509.31 : x
  2. Step 2: Convert to fraction form
    3,290,145.66/7,100,509.31 = 7,100,509.31/x
  3. Step 3: Cross multiply
    3,290,145.66x = 7,100,509.31 × 7,100,509.31
  4. Step 4: Simplify right side
    3,290,145.66x = 50,417,232,496,899.22
  5. Step 5: Solve for x
    x = 50,417,232,496,899.22/3,290,145.66
  6. Step 6: Final answer
    x = 15,323,708.36

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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.