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Finding the Third Proportional to 405,722.50 and 631,548.25

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Solution

The third proportional to 405,722.50 and 631,548.25 is: 983,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,722.50 : 631,548.25 = 631,548.25 : x
  2. Step 2: Convert to fraction form
    405,722.50/631,548.25 = 631,548.25/x
  3. Step 3: Cross multiply
    405,722.50x = 631,548.25 × 631,548.25
  4. Step 4: Simplify right side
    405,722.50x = 398,853,192,078.06
  5. Step 5: Solve for x
    x = 398,853,192,078.06/405,722.50
  6. Step 6: Final answer
    x = 983,068.95

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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.