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Finding the Third Proportional to 345,118 and 541,492

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Solution

The third proportional to 345,118 and 541,492 is: 849,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,118 : 541,492 = 541,492 : x
  2. Step 2: Convert to fraction form
    345,118/541,492 = 541,492/x
  3. Step 3: Cross multiply
    345,118x = 541,492 × 541,492
  4. Step 4: Simplify right side
    345,118x = 293,213,586,064
  5. Step 5: Solve for x
    x = 293,213,586,064/345,118
  6. Step 6: Final answer
    x = 849,603.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.