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Finding the Third Proportional to 417,315 and 901,158

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Solution

The third proportional to 417,315 and 901,158 is: 1,945,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,315 : 901,158 = 901,158 : x
  2. Step 2: Convert to fraction form
    417,315/901,158 = 901,158/x
  3. Step 3: Cross multiply
    417,315x = 901,158 × 901,158
  4. Step 4: Simplify right side
    417,315x = 812,085,740,964
  5. Step 5: Solve for x
    x = 812,085,740,964/417,315
  6. Step 6: Final answer
    x = 1,945,977.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.