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Finding the Third Proportional to 405,823 and 630,840

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Solution

The third proportional to 405,823 and 630,840 is: 980,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,823 : 630,840 = 630,840 : x
  2. Step 2: Convert to fraction form
    405,823/630,840 = 630,840/x
  3. Step 3: Cross multiply
    405,823x = 630,840 × 630,840
  4. Step 4: Simplify right side
    405,823x = 397,959,105,600
  5. Step 5: Solve for x
    x = 397,959,105,600/405,823
  6. Step 6: Final answer
    x = 980,622.35

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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.