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Finding the Third Proportional to 645,796 and 886,505

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Solution

The third proportional to 645,796 and 886,505 is: 1,216,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,796 : 886,505 = 886,505 : x
  2. Step 2: Convert to fraction form
    645,796/886,505 = 886,505/x
  3. Step 3: Cross multiply
    645,796x = 886,505 × 886,505
  4. Step 4: Simplify right side
    645,796x = 785,891,115,025
  5. Step 5: Solve for x
    x = 785,891,115,025/645,796
  6. Step 6: Final answer
    x = 1,216,934.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.