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Finding the Third Proportional to 182,445 and 398,515

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Solution

The third proportional to 182,445 and 398,515 is: 870,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,445 : 398,515 = 398,515 : x
  2. Step 2: Convert to fraction form
    182,445/398,515 = 398,515/x
  3. Step 3: Cross multiply
    182,445x = 398,515 × 398,515
  4. Step 4: Simplify right side
    182,445x = 158,814,205,225
  5. Step 5: Solve for x
    x = 158,814,205,225/182,445
  6. Step 6: Final answer
    x = 870,477.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.