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Finding the Third Proportional to 405,630 and 631,368

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Solution

The third proportional to 405,630 and 631,368 is: 982,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,630 : 631,368 = 631,368 : x
  2. Step 2: Convert to fraction form
    405,630/631,368 = 631,368/x
  3. Step 3: Cross multiply
    405,630x = 631,368 × 631,368
  4. Step 4: Simplify right side
    405,630x = 398,625,551,424
  5. Step 5: Solve for x
    x = 398,625,551,424/405,630
  6. Step 6: Final answer
    x = 982,731.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.