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Finding the Third Proportional to 549,011 and 820,284

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Solution

The third proportional to 549,011 and 820,284 is: 1,225,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,011 : 820,284 = 820,284 : x
  2. Step 2: Convert to fraction form
    549,011/820,284 = 820,284/x
  3. Step 3: Cross multiply
    549,011x = 820,284 × 820,284
  4. Step 4: Simplify right side
    549,011x = 672,865,840,656
  5. Step 5: Solve for x
    x = 672,865,840,656/549,011
  6. Step 6: Final answer
    x = 1,225,596.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.