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Finding the Third Proportional to 821,764 and 1,153,830

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Solution

The third proportional to 821,764 and 1,153,830 is: 1,620,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,764 : 1,153,830 = 1,153,830 : x
  2. Step 2: Convert to fraction form
    821,764/1,153,830 = 1,153,830/x
  3. Step 3: Cross multiply
    821,764x = 1,153,830 × 1,153,830
  4. Step 4: Simplify right side
    821,764x = 1,331,323,668,900
  5. Step 5: Solve for x
    x = 1,331,323,668,900/821,764
  6. Step 6: Final answer
    x = 1,620,080.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.