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Finding the Third Proportional to 518,176 and 762,445

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Solution

The third proportional to 518,176 and 762,445 is: 1,121,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,176 : 762,445 = 762,445 : x
  2. Step 2: Convert to fraction form
    518,176/762,445 = 762,445/x
  3. Step 3: Cross multiply
    518,176x = 762,445 × 762,445
  4. Step 4: Simplify right side
    518,176x = 581,322,378,025
  5. Step 5: Solve for x
    x = 581,322,378,025/518,176
  6. Step 6: Final answer
    x = 1,121,862.80

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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.