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Finding the Third Proportional to 828,960 and 1,280,073

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Solution

The third proportional to 828,960 and 1,280,073 is: 1,976,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,960 : 1,280,073 = 1,280,073 : x
  2. Step 2: Convert to fraction form
    828,960/1,280,073 = 1,280,073/x
  3. Step 3: Cross multiply
    828,960x = 1,280,073 × 1,280,073
  4. Step 4: Simplify right side
    828,960x = 1,638,586,885,329
  5. Step 5: Solve for x
    x = 1,638,586,885,329/828,960
  6. Step 6: Final answer
    x = 1,976,677.87

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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.