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Finding the Third Proportional to 255,154 and 549,309

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Solution

The third proportional to 255,154 and 549,309 is: 1,182,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,154 : 549,309 = 549,309 : x
  2. Step 2: Convert to fraction form
    255,154/549,309 = 549,309/x
  3. Step 3: Cross multiply
    255,154x = 549,309 × 549,309
  4. Step 4: Simplify right side
    255,154x = 301,740,377,481
  5. Step 5: Solve for x
    x = 301,740,377,481/255,154
  6. Step 6: Final answer
    x = 1,182,581.41

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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.