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Finding the Third Proportional to 507.28 and 678.66

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Solution

The third proportional to 507.28 and 678.66 is: 907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.28 : 678.66 = 678.66 : x
  2. Step 2: Convert to fraction form
    507.28/678.66 = 678.66/x
  3. Step 3: Cross multiply
    507.28x = 678.66 × 678.66
  4. Step 4: Simplify right side
    507.28x = 460,574.31
  5. Step 5: Solve for x
    x = 460,574.31/507.28
  6. Step 6: Final answer
    x = 907.93

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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.