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Finding the Third Proportional to 917.63 and 1,384.13

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Solution

The third proportional to 917.63 and 1,384.13 is: 2,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.63 : 1,384.13 = 1,384.13 : x
  2. Step 2: Convert to fraction form
    917.63/1,384.13 = 1,384.13/x
  3. Step 3: Cross multiply
    917.63x = 1,384.13 × 1,384.13
  4. Step 4: Simplify right side
    917.63x = 1,915,802.02
  5. Step 5: Solve for x
    x = 1,915,802.02/917.63
  6. Step 6: Final answer
    x = 2,087.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.