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Finding the Third Proportional to 398,196 and 616,555

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Solution

The third proportional to 398,196 and 616,555 is: 954,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,196 : 616,555 = 616,555 : x
  2. Step 2: Convert to fraction form
    398,196/616,555 = 616,555/x
  3. Step 3: Cross multiply
    398,196x = 616,555 × 616,555
  4. Step 4: Simplify right side
    398,196x = 380,140,068,025
  5. Step 5: Solve for x
    x = 380,140,068,025/398,196
  6. Step 6: Final answer
    x = 954,655.67

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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.