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Finding the Third Proportional to 918.56 and 1,013.06

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Solution

The third proportional to 918.56 and 1,013.06 is: 1,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.56 : 1,013.06 = 1,013.06 : x
  2. Step 2: Convert to fraction form
    918.56/1,013.06 = 1,013.06/x
  3. Step 3: Cross multiply
    918.56x = 1,013.06 × 1,013.06
  4. Step 4: Simplify right side
    918.56x = 1,026,295.63
  5. Step 5: Solve for x
    x = 1,026,295.63/918.56
  6. Step 6: Final answer
    x = 1,117.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.