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Finding the Third Proportional to 7,128 and 7,615.69

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Solution

The third proportional to 7,128 and 7,615.69 is: 8,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128 : 7,615.69 = 7,615.69 : x
  2. Step 2: Convert to fraction form
    7,128/7,615.69 = 7,615.69/x
  3. Step 3: Cross multiply
    7,128x = 7,615.69 × 7,615.69
  4. Step 4: Simplify right side
    7,128x = 57,998,696.10
  5. Step 5: Solve for x
    x = 57,998,696.10/7,128
  6. Step 6: Final answer
    x = 8,136.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.