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Finding the Third Proportional to 288,641.25 and 429,883.88

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Solution

The third proportional to 288,641.25 and 429,883.88 is: 640,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,641.25 : 429,883.88 = 429,883.88 : x
  2. Step 2: Convert to fraction form
    288,641.25/429,883.88 = 429,883.88/x
  3. Step 3: Cross multiply
    288,641.25x = 429,883.88 × 429,883.88
  4. Step 4: Simplify right side
    288,641.25x = 184,800,145,985.02
  5. Step 5: Solve for x
    x = 184,800,145,985.02/288,641.25
  6. Step 6: Final answer
    x = 640,241.64

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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.