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Finding the Third Proportional to 305,870.55 and 656,027.86

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Solution

The third proportional to 305,870.55 and 656,027.86 is: 1,407,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,870.55 : 656,027.86 = 656,027.86 : x
  2. Step 2: Convert to fraction form
    305,870.55/656,027.86 = 656,027.86/x
  3. Step 3: Cross multiply
    305,870.55x = 656,027.86 × 656,027.86
  4. Step 4: Simplify right side
    305,870.55x = 430,372,552,276.15
  5. Step 5: Solve for x
    x = 430,372,552,276.15/305,870.55
  6. Step 6: Final answer
    x = 1,407,041.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.