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Finding the Third Proportional to 349,054 and 512,492

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Solution

The third proportional to 349,054 and 512,492 is: 752,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,054 : 512,492 = 512,492 : x
  2. Step 2: Convert to fraction form
    349,054/512,492 = 512,492/x
  3. Step 3: Cross multiply
    349,054x = 512,492 × 512,492
  4. Step 4: Simplify right side
    349,054x = 262,648,050,064
  5. Step 5: Solve for x
    x = 262,648,050,064/349,054
  6. Step 6: Final answer
    x = 752,456.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.