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Finding the Third Proportional to 408,972 and 624,529

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Solution

The third proportional to 408,972 and 624,529 is: 953,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,972 : 624,529 = 624,529 : x
  2. Step 2: Convert to fraction form
    408,972/624,529 = 624,529/x
  3. Step 3: Cross multiply
    408,972x = 624,529 × 624,529
  4. Step 4: Simplify right side
    408,972x = 390,036,471,841
  5. Step 5: Solve for x
    x = 390,036,471,841/408,972
  6. Step 6: Final answer
    x = 953,699.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.