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Finding the Third Proportional to 380,366 and 803,178

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Solution

The third proportional to 380,366 and 803,178 is: 1,695,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,366 : 803,178 = 803,178 : x
  2. Step 2: Convert to fraction form
    380,366/803,178 = 803,178/x
  3. Step 3: Cross multiply
    380,366x = 803,178 × 803,178
  4. Step 4: Simplify right side
    380,366x = 645,094,899,684
  5. Step 5: Solve for x
    x = 645,094,899,684/380,366
  6. Step 6: Final answer
    x = 1,695,984.66

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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.