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Finding the Third Proportional to 9,784.50 and 14,888.25

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Solution

The third proportional to 9,784.50 and 14,888.25 is: 22,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.50 : 14,888.25 = 14,888.25 : x
  2. Step 2: Convert to fraction form
    9,784.50/14,888.25 = 14,888.25/x
  3. Step 3: Cross multiply
    9,784.50x = 14,888.25 × 14,888.25
  4. Step 4: Simplify right side
    9,784.50x = 221,659,988.06
  5. Step 5: Solve for x
    x = 221,659,988.06/9,784.50
  6. Step 6: Final answer
    x = 22,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.