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Finding the Third Proportional to 319,072 and 690,976

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Solution

The third proportional to 319,072 and 690,976 is: 1,496,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,072 : 690,976 = 690,976 : x
  2. Step 2: Convert to fraction form
    319,072/690,976 = 690,976/x
  3. Step 3: Cross multiply
    319,072x = 690,976 × 690,976
  4. Step 4: Simplify right side
    319,072x = 477,447,832,576
  5. Step 5: Solve for x
    x = 477,447,832,576/319,072
  6. Step 6: Final answer
    x = 1,496,363.93

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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.