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Finding the Third Proportional to 907.10 and 1,987.07

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Solution

The third proportional to 907.10 and 1,987.07 is: 4,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.10 : 1,987.07 = 1,987.07 : x
  2. Step 2: Convert to fraction form
    907.10/1,987.07 = 1,987.07/x
  3. Step 3: Cross multiply
    907.10x = 1,987.07 × 1,987.07
  4. Step 4: Simplify right side
    907.10x = 3,948,450.37
  5. Step 5: Solve for x
    x = 3,948,450.37/907.10
  6. Step 6: Final answer
    x = 4,352.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.