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Finding the Third Proportional to 720,820 and 1,585,529

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Solution

The third proportional to 720,820 and 1,585,529 is: 3,487,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,820 : 1,585,529 = 1,585,529 : x
  2. Step 2: Convert to fraction form
    720,820/1,585,529 = 1,585,529/x
  3. Step 3: Cross multiply
    720,820x = 1,585,529 × 1,585,529
  4. Step 4: Simplify right side
    720,820x = 2,513,902,209,841
  5. Step 5: Solve for x
    x = 2,513,902,209,841/720,820
  6. Step 6: Final answer
    x = 3,487,558.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.