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Finding the Third Proportional to 420,483.38 and 630,595.41

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Solution

The third proportional to 420,483.38 and 630,595.41 is: 945,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,483.38 : 630,595.41 = 630,595.41 : x
  2. Step 2: Convert to fraction form
    420,483.38/630,595.41 = 630,595.41/x
  3. Step 3: Cross multiply
    420,483.38x = 630,595.41 × 630,595.41
  4. Step 4: Simplify right side
    420,483.38x = 397,650,566,383.60
  5. Step 5: Solve for x
    x = 397,650,566,383.60/420,483.38
  6. Step 6: Final answer
    x = 945,698.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.