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Finding the Third Proportional to 302,836 and 637,056

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Solution

The third proportional to 302,836 and 637,056 is: 1,340,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,836 : 637,056 = 637,056 : x
  2. Step 2: Convert to fraction form
    302,836/637,056 = 637,056/x
  3. Step 3: Cross multiply
    302,836x = 637,056 × 637,056
  4. Step 4: Simplify right side
    302,836x = 405,840,347,136
  5. Step 5: Solve for x
    x = 405,840,347,136/302,836
  6. Step 6: Final answer
    x = 1,340,132.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.