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Finding the Third Proportional to 459.63 and 987.88

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Solution

The third proportional to 459.63 and 987.88 is: 2,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 987.88 = 987.88 : x
  2. Step 2: Convert to fraction form
    459.63/987.88 = 987.88/x
  3. Step 3: Cross multiply
    459.63x = 987.88 × 987.88
  4. Step 4: Simplify right side
    459.63x = 975,897.02
  5. Step 5: Solve for x
    x = 975,897.02/459.63
  6. Step 6: Final answer
    x = 2,123.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.