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Finding the Third Proportional to 257,652 and 549,540

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Solution

The third proportional to 257,652 and 549,540 is: 1,172,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,652 : 549,540 = 549,540 : x
  2. Step 2: Convert to fraction form
    257,652/549,540 = 549,540/x
  3. Step 3: Cross multiply
    257,652x = 549,540 × 549,540
  4. Step 4: Simplify right side
    257,652x = 301,994,211,600
  5. Step 5: Solve for x
    x = 301,994,211,600/257,652
  6. Step 6: Final answer
    x = 1,172,101.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.