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Finding the Third Proportional to 420,138 and 630,516

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Solution

The third proportional to 420,138 and 630,516 is: 946,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138 : 630,516 = 630,516 : x
  2. Step 2: Convert to fraction form
    420,138/630,516 = 630,516/x
  3. Step 3: Cross multiply
    420,138x = 630,516 × 630,516
  4. Step 4: Simplify right side
    420,138x = 397,550,426,256
  5. Step 5: Solve for x
    x = 397,550,426,256/420,138
  6. Step 6: Final answer
    x = 946,237.73

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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.