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Finding the Third Proportional to 429,144.75 and 630,571.50

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Solution

The third proportional to 429,144.75 and 630,571.50 is: 926,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,144.75 : 630,571.50 = 630,571.50 : x
  2. Step 2: Convert to fraction form
    429,144.75/630,571.50 = 630,571.50/x
  3. Step 3: Cross multiply
    429,144.75x = 630,571.50 × 630,571.50
  4. Step 4: Simplify right side
    429,144.75x = 397,620,416,612.25
  5. Step 5: Solve for x
    x = 397,620,416,612.25/429,144.75
  6. Step 6: Final answer
    x = 926,541.49

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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.