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Finding the Third Proportional to 409,131 and 550,344.38

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Solution

The third proportional to 409,131 and 550,344.38 is: 740,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,131 : 550,344.38 = 550,344.38 : x
  2. Step 2: Convert to fraction form
    409,131/550,344.38 = 550,344.38/x
  3. Step 3: Cross multiply
    409,131x = 550,344.38 × 550,344.38
  4. Step 4: Simplify right side
    409,131x = 302,878,931,094.14
  5. Step 5: Solve for x
    x = 302,878,931,094.14/409,131
  6. Step 6: Final answer
    x = 740,298.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.