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Finding the Third Proportional to 330,480 and 724,224

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Solution

The third proportional to 330,480 and 724,224 is: 1,587,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,480 : 724,224 = 724,224 : x
  2. Step 2: Convert to fraction form
    330,480/724,224 = 724,224/x
  3. Step 3: Cross multiply
    330,480x = 724,224 × 724,224
  4. Step 4: Simplify right side
    330,480x = 524,500,402,176
  5. Step 5: Solve for x
    x = 524,500,402,176/330,480
  6. Step 6: Final answer
    x = 1,587,086.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.