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Finding the Third Proportional to 257,932 and 549,078

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Solution

The third proportional to 257,932 and 549,078 is: 1,168,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,932 : 549,078 = 549,078 : x
  2. Step 2: Convert to fraction form
    257,932/549,078 = 549,078/x
  3. Step 3: Cross multiply
    257,932x = 549,078 × 549,078
  4. Step 4: Simplify right side
    257,932x = 301,486,650,084
  5. Step 5: Solve for x
    x = 301,486,650,084/257,932
  6. Step 6: Final answer
    x = 1,168,860.98

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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.