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Finding the Third Proportional to 829,064 and 1,280,235

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Solution

The third proportional to 829,064 and 1,280,235 is: 1,976,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,064 : 1,280,235 = 1,280,235 : x
  2. Step 2: Convert to fraction form
    829,064/1,280,235 = 1,280,235/x
  3. Step 3: Cross multiply
    829,064x = 1,280,235 × 1,280,235
  4. Step 4: Simplify right side
    829,064x = 1,639,001,655,225
  5. Step 5: Solve for x
    x = 1,639,001,655,225/829,064
  6. Step 6: Final answer
    x = 1,976,930.20

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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.