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Finding the Third Proportional to 408,770 and 549,315

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Solution

The third proportional to 408,770 and 549,315 is: 738,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,770 : 549,315 = 549,315 : x
  2. Step 2: Convert to fraction form
    408,770/549,315 = 549,315/x
  3. Step 3: Cross multiply
    408,770x = 549,315 × 549,315
  4. Step 4: Simplify right side
    408,770x = 301,746,969,225
  5. Step 5: Solve for x
    x = 301,746,969,225/408,770
  6. Step 6: Final answer
    x = 738,182.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.