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Finding the Third Proportional to 678.88 and 1,017.88

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Solution

The third proportional to 678.88 and 1,017.88 is: 1,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.88 : 1,017.88 = 1,017.88 : x
  2. Step 2: Convert to fraction form
    678.88/1,017.88 = 1,017.88/x
  3. Step 3: Cross multiply
    678.88x = 1,017.88 × 1,017.88
  4. Step 4: Simplify right side
    678.88x = 1,036,069.52
  5. Step 5: Solve for x
    x = 1,036,069.52/678.88
  6. Step 6: Final answer
    x = 1,526.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.