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Finding the Third Proportional to 755,284.50 and 1,643,378.63

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Solution

The third proportional to 755,284.50 and 1,643,378.63 is: 3,575,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,284.50 : 1,643,378.63 = 1,643,378.63 : x
  2. Step 2: Convert to fraction form
    755,284.50/1,643,378.63 = 1,643,378.63/x
  3. Step 3: Cross multiply
    755,284.50x = 1,643,378.63 × 1,643,378.63
  4. Step 4: Simplify right side
    755,284.50x = 2,700,693,305,106.89
  5. Step 5: Solve for x
    x = 2,700,693,305,106.89/755,284.50
  6. Step 6: Final answer
    x = 3,575,729.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.