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Finding the Third Proportional to 380,385 and 803,205

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Solution

The third proportional to 380,385 and 803,205 is: 1,696,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,385 : 803,205 = 803,205 : x
  2. Step 2: Convert to fraction form
    380,385/803,205 = 803,205/x
  3. Step 3: Cross multiply
    380,385x = 803,205 × 803,205
  4. Step 4: Simplify right side
    380,385x = 645,138,272,025
  5. Step 5: Solve for x
    x = 645,138,272,025/380,385
  6. Step 6: Final answer
    x = 1,696,013.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.