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Finding the Third Proportional to 464.38 and 987.63

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Solution

The third proportional to 464.38 and 987.63 is: 2,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.38 : 987.63 = 987.63 : x
  2. Step 2: Convert to fraction form
    464.38/987.63 = 987.63/x
  3. Step 3: Cross multiply
    464.38x = 987.63 × 987.63
  4. Step 4: Simplify right side
    464.38x = 975,403.14
  5. Step 5: Solve for x
    x = 975,403.14/464.38
  6. Step 6: Final answer
    x = 2,100.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.