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Finding the Third Proportional to 1,281,521.25 and 2,818,820.25

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Solution

The third proportional to 1,281,521.25 and 2,818,820.25 is: 6,200,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,521.25 : 2,818,820.25 = 2,818,820.25 : x
  2. Step 2: Convert to fraction form
    1,281,521.25/2,818,820.25 = 2,818,820.25/x
  3. Step 3: Cross multiply
    1,281,521.25x = 2,818,820.25 × 2,818,820.25
  4. Step 4: Simplify right side
    1,281,521.25x = 7,945,747,601,810.06
  5. Step 5: Solve for x
    x = 7,945,747,601,810.06/1,281,521.25
  6. Step 6: Final answer
    x = 6,200,246.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.