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Finding the Third Proportional to 1,689,259.22 and 3,985,965.28

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Solution

The third proportional to 1,689,259.22 and 3,985,965.28 is: 9,405,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,259.22 : 3,985,965.28 = 3,985,965.28 : x
  2. Step 2: Convert to fraction form
    1,689,259.22/3,985,965.28 = 3,985,965.28/x
  3. Step 3: Cross multiply
    1,689,259.22x = 3,985,965.28 × 3,985,965.28
  4. Step 4: Simplify right side
    1,689,259.22x = 15,887,919,223,330.39
  5. Step 5: Solve for x
    x = 15,887,919,223,330.39/1,689,259.22
  6. Step 6: Final answer
    x = 9,405,258.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.