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Finding the Third Proportional to 301,385.81 and 409,308.19

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Solution

The third proportional to 301,385.81 and 409,308.19 is: 555,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,385.81 : 409,308.19 = 409,308.19 : x
  2. Step 2: Convert to fraction form
    301,385.81/409,308.19 = 409,308.19/x
  3. Step 3: Cross multiply
    301,385.81x = 409,308.19 × 409,308.19
  4. Step 4: Simplify right side
    301,385.81x = 167,533,192,354.54
  5. Step 5: Solve for x
    x = 167,533,192,354.54/301,385.81
  6. Step 6: Final answer
    x = 555,876.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.