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Finding the Third Proportional to 642.94 and 707.06

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Solution

The third proportional to 642.94 and 707.06 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 707.06 = 707.06 : x
  2. Step 2: Convert to fraction form
    642.94/707.06 = 707.06/x
  3. Step 3: Cross multiply
    642.94x = 707.06 × 707.06
  4. Step 4: Simplify right side
    642.94x = 499,937.38
  5. Step 5: Solve for x
    x = 499,937.38/642.94
  6. Step 6: Final answer
    x = 777.58

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.