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Finding the Third Proportional to 4,397.63 and 7,818.19

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Solution

The third proportional to 4,397.63 and 7,818.19 is: 13,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.63 : 7,818.19 = 7,818.19 : x
  2. Step 2: Convert to fraction form
    4,397.63/7,818.19 = 7,818.19/x
  3. Step 3: Cross multiply
    4,397.63x = 7,818.19 × 7,818.19
  4. Step 4: Simplify right side
    4,397.63x = 61,124,055.79
  5. Step 5: Solve for x
    x = 61,124,055.79/4,397.63
  6. Step 6: Final answer
    x = 13,899.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.