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Finding the Third Proportional to 828,797 and 1,279,808

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Solution

The third proportional to 828,797 and 1,279,808 is: 1,976,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,797 : 1,279,808 = 1,279,808 : x
  2. Step 2: Convert to fraction form
    828,797/1,279,808 = 1,279,808/x
  3. Step 3: Cross multiply
    828,797x = 1,279,808 × 1,279,808
  4. Step 4: Simplify right side
    828,797x = 1,637,908,516,864
  5. Step 5: Solve for x
    x = 1,637,908,516,864/828,797
  6. Step 6: Final answer
    x = 1,976,248.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.