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Finding the Third Proportional to 549,840 and 768,139

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Solution

The third proportional to 549,840 and 768,139 is: 1,073,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,840 : 768,139 = 768,139 : x
  2. Step 2: Convert to fraction form
    549,840/768,139 = 768,139/x
  3. Step 3: Cross multiply
    549,840x = 768,139 × 768,139
  4. Step 4: Simplify right side
    549,840x = 590,037,523,321
  5. Step 5: Solve for x
    x = 590,037,523,321/549,840
  6. Step 6: Final answer
    x = 1,073,107.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.