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Finding the Third Proportional to 978,482 and 1,983,258

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Solution

The third proportional to 978,482 and 1,983,258 is: 4,019,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,482 : 1,983,258 = 1,983,258 : x
  2. Step 2: Convert to fraction form
    978,482/1,983,258 = 1,983,258/x
  3. Step 3: Cross multiply
    978,482x = 1,983,258 × 1,983,258
  4. Step 4: Simplify right side
    978,482x = 3,933,312,294,564
  5. Step 5: Solve for x
    x = 3,933,312,294,564/978,482
  6. Step 6: Final answer
    x = 4,019,810.58

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.