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Finding the Third Proportional to 264,389 and 402,779

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Solution

The third proportional to 264,389 and 402,779 is: 613,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,389 : 402,779 = 402,779 : x
  2. Step 2: Convert to fraction form
    264,389/402,779 = 402,779/x
  3. Step 3: Cross multiply
    264,389x = 402,779 × 402,779
  4. Step 4: Simplify right side
    264,389x = 162,230,922,841
  5. Step 5: Solve for x
    x = 162,230,922,841/264,389
  6. Step 6: Final answer
    x = 613,606.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.