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Finding the Third Proportional to 255,398 and 549,764

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Solution

The third proportional to 255,398 and 549,764 is: 1,183,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,398 : 549,764 = 549,764 : x
  2. Step 2: Convert to fraction form
    255,398/549,764 = 549,764/x
  3. Step 3: Cross multiply
    255,398x = 549,764 × 549,764
  4. Step 4: Simplify right side
    255,398x = 302,240,455,696
  5. Step 5: Solve for x
    x = 302,240,455,696/255,398
  6. Step 6: Final answer
    x = 1,183,409.64

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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.