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Finding the Third Proportional to 678.10 and 1,056.80

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Solution

The third proportional to 678.10 and 1,056.80 is: 1,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 1,056.80 = 1,056.80 : x
  2. Step 2: Convert to fraction form
    678.10/1,056.80 = 1,056.80/x
  3. Step 3: Cross multiply
    678.10x = 1,056.80 × 1,056.80
  4. Step 4: Simplify right side
    678.10x = 1,116,819.64
  5. Step 5: Solve for x
    x = 1,116,819.64/678.10
  6. Step 6: Final answer
    x = 1,646.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.