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Finding the Third Proportional to 128,029.50 and 184,430.81

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Solution

The third proportional to 128,029.50 and 184,430.81 is: 265,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,029.50 : 184,430.81 = 184,430.81 : x
  2. Step 2: Convert to fraction form
    128,029.50/184,430.81 = 184,430.81/x
  3. Step 3: Cross multiply
    128,029.50x = 184,430.81 × 184,430.81
  4. Step 4: Simplify right side
    128,029.50x = 34,014,724,599.41
  5. Step 5: Solve for x
    x = 34,014,724,599.41/128,029.50
  6. Step 6: Final answer
    x = 265,678.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.