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Finding the Third Proportional to 8,128.69 and 15,913.13

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Solution

The third proportional to 8,128.69 and 15,913.13 is: 31,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.69 : 15,913.13 = 15,913.13 : x
  2. Step 2: Convert to fraction form
    8,128.69/15,913.13 = 15,913.13/x
  3. Step 3: Cross multiply
    8,128.69x = 15,913.13 × 15,913.13
  4. Step 4: Simplify right side
    8,128.69x = 253,227,547.27
  5. Step 5: Solve for x
    x = 253,227,547.27/8,128.69
  6. Step 6: Final answer
    x = 31,152.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.