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Finding the Third Proportional to 829,106 and 1,280,307

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Solution

The third proportional to 829,106 and 1,280,307 is: 1,977,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,106 : 1,280,307 = 1,280,307 : x
  2. Step 2: Convert to fraction form
    829,106/1,280,307 = 1,280,307/x
  3. Step 3: Cross multiply
    829,106x = 1,280,307 × 1,280,307
  4. Step 4: Simplify right side
    829,106x = 1,639,186,014,249
  5. Step 5: Solve for x
    x = 1,639,186,014,249/829,106
  6. Step 6: Final answer
    x = 1,977,052.41

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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.