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Finding the Third Proportional to 978,480 and 1,983,253.50

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Solution

The third proportional to 978,480 and 1,983,253.50 is: 4,019,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,480 : 1,983,253.50 = 1,983,253.50 : x
  2. Step 2: Convert to fraction form
    978,480/1,983,253.50 = 1,983,253.50/x
  3. Step 3: Cross multiply
    978,480x = 1,983,253.50 × 1,983,253.50
  4. Step 4: Simplify right side
    978,480x = 3,933,294,445,262.25
  5. Step 5: Solve for x
    x = 3,933,294,445,262.25/978,480
  6. Step 6: Final answer
    x = 4,019,800.55

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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.