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Finding the Third Proportional to 982,254 and 1,477,043

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Solution

The third proportional to 982,254 and 1,477,043 is: 2,221,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,254 : 1,477,043 = 1,477,043 : x
  2. Step 2: Convert to fraction form
    982,254/1,477,043 = 1,477,043/x
  3. Step 3: Cross multiply
    982,254x = 1,477,043 × 1,477,043
  4. Step 4: Simplify right side
    982,254x = 2,181,656,023,849
  5. Step 5: Solve for x
    x = 2,181,656,023,849/982,254
  6. Step 6: Final answer
    x = 2,221,071.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.