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Finding the Third Proportional to 420,716 and 917,582

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Solution

The third proportional to 420,716 and 917,582 is: 2,001,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,716 : 917,582 = 917,582 : x
  2. Step 2: Convert to fraction form
    420,716/917,582 = 917,582/x
  3. Step 3: Cross multiply
    420,716x = 917,582 × 917,582
  4. Step 4: Simplify right side
    420,716x = 841,956,726,724
  5. Step 5: Solve for x
    x = 841,956,726,724/420,716
  6. Step 6: Final answer
    x = 2,001,247.22

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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.