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Finding the Third Proportional to 319,817 and 688,855

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Solution

The third proportional to 319,817 and 688,855 is: 1,483,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,817 : 688,855 = 688,855 : x
  2. Step 2: Convert to fraction form
    319,817/688,855 = 688,855/x
  3. Step 3: Cross multiply
    319,817x = 688,855 × 688,855
  4. Step 4: Simplify right side
    319,817x = 474,521,211,025
  5. Step 5: Solve for x
    x = 474,521,211,025/319,817
  6. Step 6: Final answer
    x = 1,483,727.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.