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Finding the Third Proportional to 829,108 and 1,280,310

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Solution

The third proportional to 829,108 and 1,280,310 is: 1,977,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,108 : 1,280,310 = 1,280,310 : x
  2. Step 2: Convert to fraction form
    829,108/1,280,310 = 1,280,310/x
  3. Step 3: Cross multiply
    829,108x = 1,280,310 × 1,280,310
  4. Step 4: Simplify right side
    829,108x = 1,639,193,696,100
  5. Step 5: Solve for x
    x = 1,639,193,696,100/829,108
  6. Step 6: Final answer
    x = 1,977,056.90

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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.