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Finding the Third Proportional to 288,319.50 and 430,092.28

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Solution

The third proportional to 288,319.50 and 430,092.28 is: 641,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,319.50 : 430,092.28 = 430,092.28 : x
  2. Step 2: Convert to fraction form
    288,319.50/430,092.28 = 430,092.28/x
  3. Step 3: Cross multiply
    288,319.50x = 430,092.28 × 430,092.28
  4. Step 4: Simplify right side
    288,319.50x = 184,979,370,390.83
  5. Step 5: Solve for x
    x = 184,979,370,390.83/288,319.50
  6. Step 6: Final answer
    x = 641,577.73

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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.