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Finding the Third Proportional to 493,136 and 630,138

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Solution

The third proportional to 493,136 and 630,138 is: 805,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,136 : 630,138 = 630,138 : x
  2. Step 2: Convert to fraction form
    493,136/630,138 = 630,138/x
  3. Step 3: Cross multiply
    493,136x = 630,138 × 630,138
  4. Step 4: Simplify right side
    493,136x = 397,073,899,044
  5. Step 5: Solve for x
    x = 397,073,899,044/493,136
  6. Step 6: Final answer
    x = 805,201.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.