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Finding the Third Proportional to 278,463 and 448,366.50

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Solution

The third proportional to 278,463 and 448,366.50 is: 721,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,463 : 448,366.50 = 448,366.50 : x
  2. Step 2: Convert to fraction form
    278,463/448,366.50 = 448,366.50/x
  3. Step 3: Cross multiply
    278,463x = 448,366.50 × 448,366.50
  4. Step 4: Simplify right side
    278,463x = 201,032,518,322.25
  5. Step 5: Solve for x
    x = 201,032,518,322.25/278,463
  6. Step 6: Final answer
    x = 721,936.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.