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Finding the Third Proportional to 288,782 and 430,779

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Solution

The third proportional to 288,782 and 430,779 is: 642,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,782 : 430,779 = 430,779 : x
  2. Step 2: Convert to fraction form
    288,782/430,779 = 430,779/x
  3. Step 3: Cross multiply
    288,782x = 430,779 × 430,779
  4. Step 4: Simplify right side
    288,782x = 185,570,546,841
  5. Step 5: Solve for x
    x = 185,570,546,841/288,782
  6. Step 6: Final answer
    x = 642,597.35

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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.