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Finding the Third Proportional to 828,883 and 1,283,784

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Solution

The third proportional to 828,883 and 1,283,784 is: 1,988,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,883 : 1,283,784 = 1,283,784 : x
  2. Step 2: Convert to fraction form
    828,883/1,283,784 = 1,283,784/x
  3. Step 3: Cross multiply
    828,883x = 1,283,784 × 1,283,784
  4. Step 4: Simplify right side
    828,883x = 1,648,101,358,656
  5. Step 5: Solve for x
    x = 1,648,101,358,656/828,883
  6. Step 6: Final answer
    x = 1,988,340.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.