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Finding the Third Proportional to 302,823.56 and 440,141.34

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Solution

The third proportional to 302,823.56 and 440,141.34 is: 639,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,823.56 : 440,141.34 = 440,141.34 : x
  2. Step 2: Convert to fraction form
    302,823.56/440,141.34 = 440,141.34/x
  3. Step 3: Cross multiply
    302,823.56x = 440,141.34 × 440,141.34
  4. Step 4: Simplify right side
    302,823.56x = 193,724,402,478.06
  5. Step 5: Solve for x
    x = 193,724,402,478.06/302,823.56
  6. Step 6: Final answer
    x = 639,726.98

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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.