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Finding the Third Proportional to 628,988 and 837,996

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Solution

The third proportional to 628,988 and 837,996 is: 1,116,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,988 : 837,996 = 837,996 : x
  2. Step 2: Convert to fraction form
    628,988/837,996 = 837,996/x
  3. Step 3: Cross multiply
    628,988x = 837,996 × 837,996
  4. Step 4: Simplify right side
    628,988x = 702,237,296,016
  5. Step 5: Solve for x
    x = 702,237,296,016/628,988
  6. Step 6: Final answer
    x = 1,116,455.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.