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Finding the Third Proportional to 420,723 and 917,595

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Solution

The third proportional to 420,723 and 917,595 is: 2,001,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,723 : 917,595 = 917,595 : x
  2. Step 2: Convert to fraction form
    420,723/917,595 = 917,595/x
  3. Step 3: Cross multiply
    420,723x = 917,595 × 917,595
  4. Step 4: Simplify right side
    420,723x = 841,980,584,025
  5. Step 5: Solve for x
    x = 841,980,584,025/420,723
  6. Step 6: Final answer
    x = 2,001,270.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.