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Finding the Third Proportional to 255,187 and 549,370

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Solution

The third proportional to 255,187 and 549,370 is: 1,182,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,187 : 549,370 = 549,370 : x
  2. Step 2: Convert to fraction form
    255,187/549,370 = 549,370/x
  3. Step 3: Cross multiply
    255,187x = 549,370 × 549,370
  4. Step 4: Simplify right side
    255,187x = 301,807,396,900
  5. Step 5: Solve for x
    x = 301,807,396,900/255,187
  6. Step 6: Final answer
    x = 1,182,691.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.