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Finding the Third Proportional to 3,102,336 and 4,634,732.25

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Solution

The third proportional to 3,102,336 and 4,634,732.25 is: 6,924,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,336 : 4,634,732.25 = 4,634,732.25 : x
  2. Step 2: Convert to fraction form
    3,102,336/4,634,732.25 = 4,634,732.25/x
  3. Step 3: Cross multiply
    3,102,336x = 4,634,732.25 × 4,634,732.25
  4. Step 4: Simplify right side
    3,102,336x = 21,480,743,029,190.06
  5. Step 5: Solve for x
    x = 21,480,743,029,190.06/3,102,336
  6. Step 6: Final answer
    x = 6,924,054.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.