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Finding the Third Proportional to 368,136 and 503,765

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Solution

The third proportional to 368,136 and 503,765 is: 689,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,136 : 503,765 = 503,765 : x
  2. Step 2: Convert to fraction form
    368,136/503,765 = 503,765/x
  3. Step 3: Cross multiply
    368,136x = 503,765 × 503,765
  4. Step 4: Simplify right side
    368,136x = 253,779,175,225
  5. Step 5: Solve for x
    x = 253,779,175,225/368,136
  6. Step 6: Final answer
    x = 689,362.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.