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Finding the Third Proportional to 829,070 and 1,280,245

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Solution

The third proportional to 829,070 and 1,280,245 is: 1,976,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,070 : 1,280,245 = 1,280,245 : x
  2. Step 2: Convert to fraction form
    829,070/1,280,245 = 1,280,245/x
  3. Step 3: Cross multiply
    829,070x = 1,280,245 × 1,280,245
  4. Step 4: Simplify right side
    829,070x = 1,639,027,260,025
  5. Step 5: Solve for x
    x = 1,639,027,260,025/829,070
  6. Step 6: Final answer
    x = 1,976,946.77

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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.