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Finding the Third Proportional to 917.58 and 1,416.87

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Solution

The third proportional to 917.58 and 1,416.87 is: 2,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.58 : 1,416.87 = 1,416.87 : x
  2. Step 2: Convert to fraction form
    917.58/1,416.87 = 1,416.87/x
  3. Step 3: Cross multiply
    917.58x = 1,416.87 × 1,416.87
  4. Step 4: Simplify right side
    917.58x = 2,007,512.63
  5. Step 5: Solve for x
    x = 2,007,512.63/917.58
  6. Step 6: Final answer
    x = 2,187.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.