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Finding the Third Proportional to 432,576 and 578,634

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Solution

The third proportional to 432,576 and 578,634 is: 774,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,576 : 578,634 = 578,634 : x
  2. Step 2: Convert to fraction form
    432,576/578,634 = 578,634/x
  3. Step 3: Cross multiply
    432,576x = 578,634 × 578,634
  4. Step 4: Simplify right side
    432,576x = 334,817,305,956
  5. Step 5: Solve for x
    x = 334,817,305,956/432,576
  6. Step 6: Final answer
    x = 774,008.05

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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.