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Finding the Third Proportional to 8,408,768 and 18,445,312

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Solution

The third proportional to 8,408,768 and 18,445,312 is: 40,461,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408,768 : 18,445,312 = 18,445,312 : x
  2. Step 2: Convert to fraction form
    8,408,768/18,445,312 = 18,445,312/x
  3. Step 3: Cross multiply
    8,408,768x = 18,445,312 × 18,445,312
  4. Step 4: Simplify right side
    8,408,768x = 340,229,534,777,344
  5. Step 5: Solve for x
    x = 340,229,534,777,344/8,408,768
  6. Step 6: Final answer
    x = 40,461,282.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.