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Finding the Third Proportional to 518,449 and 741,385

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Solution

The third proportional to 518,449 and 741,385 is: 1,060,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,449 : 741,385 = 741,385 : x
  2. Step 2: Convert to fraction form
    518,449/741,385 = 741,385/x
  3. Step 3: Cross multiply
    518,449x = 741,385 × 741,385
  4. Step 4: Simplify right side
    518,449x = 549,651,718,225
  5. Step 5: Solve for x
    x = 549,651,718,225/518,449
  6. Step 6: Final answer
    x = 1,060,184.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.