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Finding the Third Proportional to 302,796 and 440,098.50

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Solution

The third proportional to 302,796 and 440,098.50 is: 639,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,796 : 440,098.50 = 440,098.50 : x
  2. Step 2: Convert to fraction form
    302,796/440,098.50 = 440,098.50/x
  3. Step 3: Cross multiply
    302,796x = 440,098.50 × 440,098.50
  4. Step 4: Simplify right side
    302,796x = 193,686,689,702.25
  5. Step 5: Solve for x
    x = 193,686,689,702.25/302,796
  6. Step 6: Final answer
    x = 639,660.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.