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Finding the Third Proportional to 678.23 and 1,486.76

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Solution

The third proportional to 678.23 and 1,486.76 is: 3,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 1,486.76 = 1,486.76 : x
  2. Step 2: Convert to fraction form
    678.23/1,486.76 = 1,486.76/x
  3. Step 3: Cross multiply
    678.23x = 1,486.76 × 1,486.76
  4. Step 4: Simplify right side
    678.23x = 2,210,448.79
  5. Step 5: Solve for x
    x = 2,210,448.79/678.23
  6. Step 6: Final answer
    x = 3,259.12

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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.