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Finding the Third Proportional to 429,727.50 and 910,680.75

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Solution

The third proportional to 429,727.50 and 910,680.75 is: 1,929,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,727.50 : 910,680.75 = 910,680.75 : x
  2. Step 2: Convert to fraction form
    429,727.50/910,680.75 = 910,680.75/x
  3. Step 3: Cross multiply
    429,727.50x = 910,680.75 × 910,680.75
  4. Step 4: Simplify right side
    429,727.50x = 829,339,428,420.56
  5. Step 5: Solve for x
    x = 829,339,428,420.56/429,727.50
  6. Step 6: Final answer
    x = 1,929,919.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.