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Finding the Third Proportional to 405,718 and 630,685

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Solution

The third proportional to 405,718 and 630,685 is: 980,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,718 : 630,685 = 630,685 : x
  2. Step 2: Convert to fraction form
    405,718/630,685 = 630,685/x
  3. Step 3: Cross multiply
    405,718x = 630,685 × 630,685
  4. Step 4: Simplify right side
    405,718x = 397,763,569,225
  5. Step 5: Solve for x
    x = 397,763,569,225/405,718
  6. Step 6: Final answer
    x = 980,394.19

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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.