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Finding the Third Proportional to 420,575.63 and 631,401.75

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Solution

The third proportional to 420,575.63 and 631,401.75 is: 947,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,575.63 : 631,401.75 = 631,401.75 : x
  2. Step 2: Convert to fraction form
    420,575.63/631,401.75 = 631,401.75/x
  3. Step 3: Cross multiply
    420,575.63x = 631,401.75 × 631,401.75
  4. Step 4: Simplify right side
    420,575.63x = 398,668,169,903.06
  5. Step 5: Solve for x
    x = 398,668,169,903.06/420,575.63
  6. Step 6: Final answer
    x = 947,910.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.