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Finding the Third Proportional to 350,720 and 724,672

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Solution

The third proportional to 350,720 and 724,672 is: 1,497,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,720 : 724,672 = 724,672 : x
  2. Step 2: Convert to fraction form
    350,720/724,672 = 724,672/x
  3. Step 3: Cross multiply
    350,720x = 724,672 × 724,672
  4. Step 4: Simplify right side
    350,720x = 525,149,507,584
  5. Step 5: Solve for x
    x = 525,149,507,584/350,720
  6. Step 6: Final answer
    x = 1,497,346.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.