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Finding the Third Proportional to 405,736 and 631,565

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Solution

The third proportional to 405,736 and 631,565 is: 983,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,736 : 631,565 = 631,565 : x
  2. Step 2: Convert to fraction form
    405,736/631,565 = 631,565/x
  3. Step 3: Cross multiply
    405,736x = 631,565 × 631,565
  4. Step 4: Simplify right side
    405,736x = 398,874,349,225
  5. Step 5: Solve for x
    x = 398,874,349,225/405,736
  6. Step 6: Final answer
    x = 983,088.39

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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.