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Finding the Third Proportional to 255,157 and 549,315

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Solution

The third proportional to 255,157 and 549,315 is: 1,182,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,157 : 549,315 = 549,315 : x
  2. Step 2: Convert to fraction form
    255,157/549,315 = 549,315/x
  3. Step 3: Cross multiply
    255,157x = 549,315 × 549,315
  4. Step 4: Simplify right side
    255,157x = 301,746,969,225
  5. Step 5: Solve for x
    x = 301,746,969,225/255,157
  6. Step 6: Final answer
    x = 1,182,593.34

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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.