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Finding the Third Proportional to 1,442,270.25 and 3,077,573.63

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Solution

The third proportional to 1,442,270.25 and 3,077,573.63 is: 6,567,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,270.25 : 3,077,573.63 = 3,077,573.63 : x
  2. Step 2: Convert to fraction form
    1,442,270.25/3,077,573.63 = 3,077,573.63/x
  3. Step 3: Cross multiply
    1,442,270.25x = 3,077,573.63 × 3,077,573.63
  4. Step 4: Simplify right side
    1,442,270.25x = 9,471,459,417,295.64
  5. Step 5: Solve for x
    x = 9,471,459,417,295.64/1,442,270.25
  6. Step 6: Final answer
    x = 6,567,049.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.