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Finding the Third Proportional to 408,768 and 549,312

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Solution

The third proportional to 408,768 and 549,312 is: 738,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,768 : 549,312 = 549,312 : x
  2. Step 2: Convert to fraction form
    408,768/549,312 = 549,312/x
  3. Step 3: Cross multiply
    408,768x = 549,312 × 549,312
  4. Step 4: Simplify right side
    408,768x = 301,743,673,344
  5. Step 5: Solve for x
    x = 301,743,673,344/408,768
  6. Step 6: Final answer
    x = 738,178.31

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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.