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Finding the Third Proportional to 420,994 and 901,764

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Solution

The third proportional to 420,994 and 901,764 is: 1,931,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,994 : 901,764 = 901,764 : x
  2. Step 2: Convert to fraction form
    420,994/901,764 = 901,764/x
  3. Step 3: Cross multiply
    420,994x = 901,764 × 901,764
  4. Step 4: Simplify right side
    420,994x = 813,178,311,696
  5. Step 5: Solve for x
    x = 813,178,311,696/420,994
  6. Step 6: Final answer
    x = 1,931,567.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.