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Finding the Third Proportional to 642.45 and 1,376.02

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Solution

The third proportional to 642.45 and 1,376.02 is: 2,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.45 : 1,376.02 = 1,376.02 : x
  2. Step 2: Convert to fraction form
    642.45/1,376.02 = 1,376.02/x
  3. Step 3: Cross multiply
    642.45x = 1,376.02 × 1,376.02
  4. Step 4: Simplify right side
    642.45x = 1,893,419.00
  5. Step 5: Solve for x
    x = 1,893,419.00/642.45
  6. Step 6: Final answer
    x = 2,947.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.