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Finding the Third Proportional to 330,688.50 and 494,743.50

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Solution

The third proportional to 330,688.50 and 494,743.50 is: 740,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,688.50 : 494,743.50 = 494,743.50 : x
  2. Step 2: Convert to fraction form
    330,688.50/494,743.50 = 494,743.50/x
  3. Step 3: Cross multiply
    330,688.50x = 494,743.50 × 494,743.50
  4. Step 4: Simplify right side
    330,688.50x = 244,771,130,792.25
  5. Step 5: Solve for x
    x = 244,771,130,792.25/330,688.50
  6. Step 6: Final answer
    x = 740,186.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.