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Finding the Third Proportional to 9,772.50 and 15,136.88

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Solution

The third proportional to 9,772.50 and 15,136.88 is: 23,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.50 : 15,136.88 = 15,136.88 : x
  2. Step 2: Convert to fraction form
    9,772.50/15,136.88 = 15,136.88/x
  3. Step 3: Cross multiply
    9,772.50x = 15,136.88 × 15,136.88
  4. Step 4: Simplify right side
    9,772.50x = 229,124,984.77
  5. Step 5: Solve for x
    x = 229,124,984.77/9,772.50
  6. Step 6: Final answer
    x = 23,445.89

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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.