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Finding the Third Proportional to 829,721 and 1,277,157

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Solution

The third proportional to 829,721 and 1,277,157 is: 1,965,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,721 : 1,277,157 = 1,277,157 : x
  2. Step 2: Convert to fraction form
    829,721/1,277,157 = 1,277,157/x
  3. Step 3: Cross multiply
    829,721x = 1,277,157 × 1,277,157
  4. Step 4: Simplify right side
    829,721x = 1,631,130,002,649
  5. Step 5: Solve for x
    x = 1,631,130,002,649/829,721
  6. Step 6: Final answer
    x = 1,965,877.69

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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.