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Finding the Third Proportional to 638,088 and 988,504

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Solution

The third proportional to 638,088 and 988,504 is: 1,531,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,088 : 988,504 = 988,504 : x
  2. Step 2: Convert to fraction form
    638,088/988,504 = 988,504/x
  3. Step 3: Cross multiply
    638,088x = 988,504 × 988,504
  4. Step 4: Simplify right side
    638,088x = 977,140,158,016
  5. Step 5: Solve for x
    x = 977,140,158,016/638,088
  6. Step 6: Final answer
    x = 1,531,356.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.