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Finding the Third Proportional to 345.47 and 751.06

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Solution

The third proportional to 345.47 and 751.06 is: 1,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.47 : 751.06 = 751.06 : x
  2. Step 2: Convert to fraction form
    345.47/751.06 = 751.06/x
  3. Step 3: Cross multiply
    345.47x = 751.06 × 751.06
  4. Step 4: Simplify right side
    345.47x = 564,094.88
  5. Step 5: Solve for x
    x = 564,094.88/345.47
  6. Step 6: Final answer
    x = 1,632.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.