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Finding the Third Proportional to 421,540 and 642,813

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Solution

The third proportional to 421,540 and 642,813 is: 980,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,540 : 642,813 = 642,813 : x
  2. Step 2: Convert to fraction form
    421,540/642,813 = 642,813/x
  3. Step 3: Cross multiply
    421,540x = 642,813 × 642,813
  4. Step 4: Simplify right side
    421,540x = 413,208,552,969
  5. Step 5: Solve for x
    x = 413,208,552,969/421,540
  6. Step 6: Final answer
    x = 980,235.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.