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Finding the Third Proportional to 551,628 and 817,074

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Solution

The third proportional to 551,628 and 817,074 is: 1,210,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,628 : 817,074 = 817,074 : x
  2. Step 2: Convert to fraction form
    551,628/817,074 = 817,074/x
  3. Step 3: Cross multiply
    551,628x = 817,074 × 817,074
  4. Step 4: Simplify right side
    551,628x = 667,609,921,476
  5. Step 5: Solve for x
    x = 667,609,921,476/551,628
  6. Step 6: Final answer
    x = 1,210,253.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.