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Finding the Third Proportional to 421,609 and 553,539

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Solution

The third proportional to 421,609 and 553,539 is: 726,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,609 : 553,539 = 553,539 : x
  2. Step 2: Convert to fraction form
    421,609/553,539 = 553,539/x
  3. Step 3: Cross multiply
    421,609x = 553,539 × 553,539
  4. Step 4: Simplify right side
    421,609x = 306,405,424,521
  5. Step 5: Solve for x
    x = 306,405,424,521/421,609
  6. Step 6: Final answer
    x = 726,752.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.