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Finding the Third Proportional to 436,616 and 676,236

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Solution

The third proportional to 436,616 and 676,236 is: 1,047,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,616 : 676,236 = 676,236 : x
  2. Step 2: Convert to fraction form
    436,616/676,236 = 676,236/x
  3. Step 3: Cross multiply
    436,616x = 676,236 × 676,236
  4. Step 4: Simplify right side
    436,616x = 457,295,127,696
  5. Step 5: Solve for x
    x = 457,295,127,696/436,616
  6. Step 6: Final answer
    x = 1,047,362.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.