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Finding the Third Proportional to 301,389.19 and 409,318.31

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Solution

The third proportional to 301,389.19 and 409,318.31 is: 555,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,389.19 : 409,318.31 = 409,318.31 : x
  2. Step 2: Convert to fraction form
    301,389.19/409,318.31 = 409,318.31/x
  3. Step 3: Cross multiply
    301,389.19x = 409,318.31 × 409,318.31
  4. Step 4: Simplify right side
    301,389.19x = 167,541,480,947.85
  5. Step 5: Solve for x
    x = 167,541,480,947.85/301,389.19
  6. Step 6: Final answer
    x = 555,897.45

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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.