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Finding the Third Proportional to 978,263.44 and 1,286,411.63

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Solution

The third proportional to 978,263.44 and 1,286,411.63 is: 1,691,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,263.44 : 1,286,411.63 = 1,286,411.63 : x
  2. Step 2: Convert to fraction form
    978,263.44/1,286,411.63 = 1,286,411.63/x
  3. Step 3: Cross multiply
    978,263.44x = 1,286,411.63 × 1,286,411.63
  4. Step 4: Simplify right side
    978,263.44x = 1,654,854,868,935.14
  5. Step 5: Solve for x
    x = 1,654,854,868,935.14/978,263.44
  6. Step 6: Final answer
    x = 1,691,624.98

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.