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Finding the Third Proportional to 424,485 and 921,321

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Solution

The third proportional to 424,485 and 921,321 is: 1,999,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,485 : 921,321 = 921,321 : x
  2. Step 2: Convert to fraction form
    424,485/921,321 = 921,321/x
  3. Step 3: Cross multiply
    424,485x = 921,321 × 921,321
  4. Step 4: Simplify right side
    424,485x = 848,832,385,041
  5. Step 5: Solve for x
    x = 848,832,385,041/424,485
  6. Step 6: Final answer
    x = 1,999,675.81

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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.