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Finding the Third Proportional to 321,136 and 500,086

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Solution

The third proportional to 321,136 and 500,086 is: 778,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,136 : 500,086 = 500,086 : x
  2. Step 2: Convert to fraction form
    321,136/500,086 = 500,086/x
  3. Step 3: Cross multiply
    321,136x = 500,086 × 500,086
  4. Step 4: Simplify right side
    321,136x = 250,086,007,396
  5. Step 5: Solve for x
    x = 250,086,007,396/321,136
  6. Step 6: Final answer
    x = 778,754.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.