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Finding the Third Proportional to 319,753 and 690,738

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Solution

The third proportional to 319,753 and 690,738 is: 1,492,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,753 : 690,738 = 690,738 : x
  2. Step 2: Convert to fraction form
    319,753/690,738 = 690,738/x
  3. Step 3: Cross multiply
    319,753x = 690,738 × 690,738
  4. Step 4: Simplify right side
    319,753x = 477,118,984,644
  5. Step 5: Solve for x
    x = 477,118,984,644/319,753
  6. Step 6: Final answer
    x = 1,492,148.58

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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.