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Finding the Third Proportional to 429,140.25 and 525,093.75

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Solution

The third proportional to 429,140.25 and 525,093.75 is: 642,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,140.25 : 525,093.75 = 525,093.75 : x
  2. Step 2: Convert to fraction form
    429,140.25/525,093.75 = 525,093.75/x
  3. Step 3: Cross multiply
    429,140.25x = 525,093.75 × 525,093.75
  4. Step 4: Simplify right side
    429,140.25x = 275,723,446,289.06
  5. Step 5: Solve for x
    x = 275,723,446,289.06/429,140.25
  6. Step 6: Final answer
    x = 642,501.95

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.