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Finding the Third Proportional to 787,212 and 1,686,408

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Solution

The third proportional to 787,212 and 1,686,408 is: 3,612,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,212 : 1,686,408 = 1,686,408 : x
  2. Step 2: Convert to fraction form
    787,212/1,686,408 = 1,686,408/x
  3. Step 3: Cross multiply
    787,212x = 1,686,408 × 1,686,408
  4. Step 4: Simplify right side
    787,212x = 2,843,971,942,464
  5. Step 5: Solve for x
    x = 2,843,971,942,464/787,212
  6. Step 6: Final answer
    x = 3,612,714.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.