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Finding the Third Proportional to 278.65 and 607.71

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Solution

The third proportional to 278.65 and 607.71 is: 1,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 607.71 = 607.71 : x
  2. Step 2: Convert to fraction form
    278.65/607.71 = 607.71/x
  3. Step 3: Cross multiply
    278.65x = 607.71 × 607.71
  4. Step 4: Simplify right side
    278.65x = 369,312.58
  5. Step 5: Solve for x
    x = 369,312.58/278.65
  6. Step 6: Final answer
    x = 1,325.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.