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Finding the Third Proportional to 450,547.31 and 984,177.84

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Solution

The third proportional to 450,547.31 and 984,177.84 is: 2,149,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,547.31 : 984,177.84 = 984,177.84 : x
  2. Step 2: Convert to fraction form
    450,547.31/984,177.84 = 984,177.84/x
  3. Step 3: Cross multiply
    450,547.31x = 984,177.84 × 984,177.84
  4. Step 4: Simplify right side
    450,547.31x = 968,606,028,128.40
  5. Step 5: Solve for x
    x = 968,606,028,128.40/450,547.31
  6. Step 6: Final answer
    x = 2,149,843.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.