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Finding the Third Proportional to 430.75 and 987.88

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Solution

The third proportional to 430.75 and 987.88 is: 2,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 987.88 = 987.88 : x
  2. Step 2: Convert to fraction form
    430.75/987.88 = 987.88/x
  3. Step 3: Cross multiply
    430.75x = 987.88 × 987.88
  4. Step 4: Simplify right side
    430.75x = 975,897.02
  5. Step 5: Solve for x
    x = 975,897.02/430.75
  6. Step 6: Final answer
    x = 2,265.58

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.