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Finding the Third Proportional to 255,155 and 549,311

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Solution

The third proportional to 255,155 and 549,311 is: 1,182,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,155 : 549,311 = 549,311 : x
  2. Step 2: Convert to fraction form
    255,155/549,311 = 549,311/x
  3. Step 3: Cross multiply
    255,155x = 549,311 × 549,311
  4. Step 4: Simplify right side
    255,155x = 301,742,574,721
  5. Step 5: Solve for x
    x = 301,742,574,721/255,155
  6. Step 6: Final answer
    x = 1,182,585.39

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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.