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Finding the Third Proportional to 146,310 and 320,538

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Solution

The third proportional to 146,310 and 320,538 is: 702,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,310 : 320,538 = 320,538 : x
  2. Step 2: Convert to fraction form
    146,310/320,538 = 320,538/x
  3. Step 3: Cross multiply
    146,310x = 320,538 × 320,538
  4. Step 4: Simplify right side
    146,310x = 102,744,609,444
  5. Step 5: Solve for x
    x = 102,744,609,444/146,310
  6. Step 6: Final answer
    x = 702,239.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.