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Finding the Third Proportional to 432,608 and 578,672

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Solution

The third proportional to 432,608 and 578,672 is: 774,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,608 : 578,672 = 578,672 : x
  2. Step 2: Convert to fraction form
    432,608/578,672 = 578,672/x
  3. Step 3: Cross multiply
    432,608x = 578,672 × 578,672
  4. Step 4: Simplify right side
    432,608x = 334,861,283,584
  5. Step 5: Solve for x
    x = 334,861,283,584/432,608
  6. Step 6: Final answer
    x = 774,052.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.