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Finding the Third Proportional to 858.09 and 1,130.48

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Solution

The third proportional to 858.09 and 1,130.48 is: 1,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.09 : 1,130.48 = 1,130.48 : x
  2. Step 2: Convert to fraction form
    858.09/1,130.48 = 1,130.48/x
  3. Step 3: Cross multiply
    858.09x = 1,130.48 × 1,130.48
  4. Step 4: Simplify right side
    858.09x = 1,277,994.92
  5. Step 5: Solve for x
    x = 1,277,994.92/858.09
  6. Step 6: Final answer
    x = 1,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.