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Finding the Third Proportional to 257,742 and 376,407

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Solution

The third proportional to 257,742 and 376,407 is: 549,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,742 : 376,407 = 376,407 : x
  2. Step 2: Convert to fraction form
    257,742/376,407 = 376,407/x
  3. Step 3: Cross multiply
    257,742x = 376,407 × 376,407
  4. Step 4: Simplify right side
    257,742x = 141,682,229,649
  5. Step 5: Solve for x
    x = 141,682,229,649/257,742
  6. Step 6: Final answer
    x = 549,705.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.