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Finding the Third Proportional to 408,076 and 621,146

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Solution

The third proportional to 408,076 and 621,146 is: 945,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076 : 621,146 = 621,146 : x
  2. Step 2: Convert to fraction form
    408,076/621,146 = 621,146/x
  3. Step 3: Cross multiply
    408,076x = 621,146 × 621,146
  4. Step 4: Simplify right side
    408,076x = 385,822,353,316
  5. Step 5: Solve for x
    x = 385,822,353,316/408,076
  6. Step 6: Final answer
    x = 945,466.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.