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Finding the Third Proportional to 1,056.48 and 1,411.01

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Solution

The third proportional to 1,056.48 and 1,411.01 is: 1,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.48 : 1,411.01 = 1,411.01 : x
  2. Step 2: Convert to fraction form
    1,056.48/1,411.01 = 1,411.01/x
  3. Step 3: Cross multiply
    1,056.48x = 1,411.01 × 1,411.01
  4. Step 4: Simplify right side
    1,056.48x = 1,990,959.58
  5. Step 5: Solve for x
    x = 1,990,959.58/1,056.48
  6. Step 6: Final answer
    x = 1,884.52

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.