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Finding the Third Proportional to 147,791 and 320,275

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Solution

The third proportional to 147,791 and 320,275 is: 694,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,791 : 320,275 = 320,275 : x
  2. Step 2: Convert to fraction form
    147,791/320,275 = 320,275/x
  3. Step 3: Cross multiply
    147,791x = 320,275 × 320,275
  4. Step 4: Simplify right side
    147,791x = 102,576,075,625
  5. Step 5: Solve for x
    x = 102,576,075,625/147,791
  6. Step 6: Final answer
    x = 694,061.72

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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.