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Finding the Third Proportional to 302,958 and 637,254

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Solution

The third proportional to 302,958 and 637,254 is: 1,340,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,958 : 637,254 = 637,254 : x
  2. Step 2: Convert to fraction form
    302,958/637,254 = 637,254/x
  3. Step 3: Cross multiply
    302,958x = 637,254 × 637,254
  4. Step 4: Simplify right side
    302,958x = 406,092,660,516
  5. Step 5: Solve for x
    x = 406,092,660,516/302,958
  6. Step 6: Final answer
    x = 1,340,425.61

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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.