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Finding the Third Proportional to 421,078.50 and 631,071

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Solution

The third proportional to 421,078.50 and 631,071 is: 945,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,078.50 : 631,071 = 631,071 : x
  2. Step 2: Convert to fraction form
    421,078.50/631,071 = 631,071/x
  3. Step 3: Cross multiply
    421,078.50x = 631,071 × 631,071
  4. Step 4: Simplify right side
    421,078.50x = 398,250,607,041
  5. Step 5: Solve for x
    x = 398,250,607,041/421,078.50
  6. Step 6: Final answer
    x = 945,787.08

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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.