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Finding the Third Proportional to 429,043.50 and 631,172.25

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Solution

The third proportional to 429,043.50 and 631,172.25 is: 928,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,043.50 : 631,172.25 = 631,172.25 : x
  2. Step 2: Convert to fraction form
    429,043.50/631,172.25 = 631,172.25/x
  3. Step 3: Cross multiply
    429,043.50x = 631,172.25 × 631,172.25
  4. Step 4: Simplify right side
    429,043.50x = 398,378,409,170.06
  5. Step 5: Solve for x
    x = 398,378,409,170.06/429,043.50
  6. Step 6: Final answer
    x = 928,526.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.