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Finding the Third Proportional to 301,438.13 and 409,362.19

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Solution

The third proportional to 301,438.13 and 409,362.19 is: 555,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,438.13 : 409,362.19 = 409,362.19 : x
  2. Step 2: Convert to fraction form
    301,438.13/409,362.19 = 409,362.19/x
  3. Step 3: Cross multiply
    301,438.13x = 409,362.19 × 409,362.19
  4. Step 4: Simplify right side
    301,438.13x = 167,577,400,554.79
  5. Step 5: Solve for x
    x = 167,577,400,554.79/301,438.13
  6. Step 6: Final answer
    x = 555,926.36

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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.