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Finding the Third Proportional to 291,007.69 and 425,212.03

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Solution

The third proportional to 291,007.69 and 425,212.03 is: 621,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,007.69 : 425,212.03 = 425,212.03 : x
  2. Step 2: Convert to fraction form
    291,007.69/425,212.03 = 425,212.03/x
  3. Step 3: Cross multiply
    291,007.69x = 425,212.03 × 425,212.03
  4. Step 4: Simplify right side
    291,007.69x = 180,805,271,519.75
  5. Step 5: Solve for x
    x = 180,805,271,519.75/291,007.69
  6. Step 6: Final answer
    x = 621,307.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.