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Finding the Third Proportional to 638,089.88 and 988,505.44

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Solution

The third proportional to 638,089.88 and 988,505.44 is: 1,531,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,089.88 : 988,505.44 = 988,505.44 : x
  2. Step 2: Convert to fraction form
    638,089.88/988,505.44 = 988,505.44/x
  3. Step 3: Cross multiply
    638,089.88x = 988,505.44 × 988,505.44
  4. Step 4: Simplify right side
    638,089.88x = 977,142,999,967.07
  5. Step 5: Solve for x
    x = 977,142,999,967.07/638,089.88
  6. Step 6: Final answer
    x = 1,531,356.38

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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.