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Finding the Third Proportional to 319,633 and 689,082

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Solution

The third proportional to 319,633 and 689,082 is: 1,485,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,633 : 689,082 = 689,082 : x
  2. Step 2: Convert to fraction form
    319,633/689,082 = 689,082/x
  3. Step 3: Cross multiply
    319,633x = 689,082 × 689,082
  4. Step 4: Simplify right side
    319,633x = 474,834,002,724
  5. Step 5: Solve for x
    x = 474,834,002,724/319,633
  6. Step 6: Final answer
    x = 1,485,560.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.