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Finding the Third Proportional to 200,723 and 432,779

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Solution

The third proportional to 200,723 and 432,779 is: 933,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723 : 432,779 = 432,779 : x
  2. Step 2: Convert to fraction form
    200,723/432,779 = 432,779/x
  3. Step 3: Cross multiply
    200,723x = 432,779 × 432,779
  4. Step 4: Simplify right side
    200,723x = 187,297,662,841
  5. Step 5: Solve for x
    x = 187,297,662,841/200,723
  6. Step 6: Final answer
    x = 933,115.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.