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Finding the Third Proportional to 678.69 and 907.45

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Solution

The third proportional to 678.69 and 907.45 is: 1,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.69 : 907.45 = 907.45 : x
  2. Step 2: Convert to fraction form
    678.69/907.45 = 907.45/x
  3. Step 3: Cross multiply
    678.69x = 907.45 × 907.45
  4. Step 4: Simplify right side
    678.69x = 823,471.17
  5. Step 5: Solve for x
    x = 823,471.17/678.69
  6. Step 6: Final answer
    x = 1,213.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.