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Finding the Third Proportional to 490,642 and 730,779

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Solution

The third proportional to 490,642 and 730,779 is: 1,088,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,642 : 730,779 = 730,779 : x
  2. Step 2: Convert to fraction form
    490,642/730,779 = 730,779/x
  3. Step 3: Cross multiply
    490,642x = 730,779 × 730,779
  4. Step 4: Simplify right side
    490,642x = 534,037,946,841
  5. Step 5: Solve for x
    x = 534,037,946,841/490,642
  6. Step 6: Final answer
    x = 1,088,447.27

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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.