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Finding the Third Proportional to 318,607 and 688,837

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Solution

The third proportional to 318,607 and 688,837 is: 1,489,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,607 : 688,837 = 688,837 : x
  2. Step 2: Convert to fraction form
    318,607/688,837 = 688,837/x
  3. Step 3: Cross multiply
    318,607x = 688,837 × 688,837
  4. Step 4: Simplify right side
    318,607x = 474,496,412,569
  5. Step 5: Solve for x
    x = 474,496,412,569/318,607
  6. Step 6: Final answer
    x = 1,489,284.33

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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.