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Finding the Third Proportional to 679.78 and 907.03

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Solution

The third proportional to 679.78 and 907.03 is: 1,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 907.03 = 907.03 : x
  2. Step 2: Convert to fraction form
    679.78/907.03 = 907.03/x
  3. Step 3: Cross multiply
    679.78x = 907.03 × 907.03
  4. Step 4: Simplify right side
    679.78x = 822,705.69
  5. Step 5: Solve for x
    x = 822,705.69/679.78
  6. Step 6: Final answer
    x = 1,210.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.