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Finding the Third Proportional to 978,032 and 2,100,681

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Solution

The third proportional to 978,032 and 2,100,681 is: 4,511,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,032 : 2,100,681 = 2,100,681 : x
  2. Step 2: Convert to fraction form
    978,032/2,100,681 = 2,100,681/x
  3. Step 3: Cross multiply
    978,032x = 2,100,681 × 2,100,681
  4. Step 4: Simplify right side
    978,032x = 4,412,860,663,761
  5. Step 5: Solve for x
    x = 4,412,860,663,761/978,032
  6. Step 6: Final answer
    x = 4,511,979.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.