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Finding the Third Proportional to 406,414 and 603,747

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Solution

The third proportional to 406,414 and 603,747 is: 896,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,414 : 603,747 = 603,747 : x
  2. Step 2: Convert to fraction form
    406,414/603,747 = 603,747/x
  3. Step 3: Cross multiply
    406,414x = 603,747 × 603,747
  4. Step 4: Simplify right side
    406,414x = 364,510,440,009
  5. Step 5: Solve for x
    x = 364,510,440,009/406,414
  6. Step 6: Final answer
    x = 896,894.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.