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Finding the Third Proportional to 678,460 and 921,405

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Solution

The third proportional to 678,460 and 921,405 is: 1,251,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,460 : 921,405 = 921,405 : x
  2. Step 2: Convert to fraction form
    678,460/921,405 = 921,405/x
  3. Step 3: Cross multiply
    678,460x = 921,405 × 921,405
  4. Step 4: Simplify right side
    678,460x = 848,987,174,025
  5. Step 5: Solve for x
    x = 848,987,174,025/678,460
  6. Step 6: Final answer
    x = 1,251,344.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.