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Finding the Third Proportional to 269,547.75 and 409,242.38

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Solution

The third proportional to 269,547.75 and 409,242.38 is: 621,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,547.75 : 409,242.38 = 409,242.38 : x
  2. Step 2: Convert to fraction form
    269,547.75/409,242.38 = 409,242.38/x
  3. Step 3: Cross multiply
    269,547.75x = 409,242.38 × 409,242.38
  4. Step 4: Simplify right side
    269,547.75x = 167,479,321,495.64
  5. Step 5: Solve for x
    x = 167,479,321,495.64/269,547.75
  6. Step 6: Final answer
    x = 621,334.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.