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Finding the Third Proportional to 829,738 and 1,281,455

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Solution

The third proportional to 829,738 and 1,281,455 is: 1,979,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,738 : 1,281,455 = 1,281,455 : x
  2. Step 2: Convert to fraction form
    829,738/1,281,455 = 1,281,455/x
  3. Step 3: Cross multiply
    829,738x = 1,281,455 × 1,281,455
  4. Step 4: Simplify right side
    829,738x = 1,642,126,917,025
  5. Step 5: Solve for x
    x = 1,642,126,917,025/829,738
  6. Step 6: Final answer
    x = 1,979,090.89

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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.