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Finding the Third Proportional to 432,787 and 678,889

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Solution

The third proportional to 432,787 and 678,889 is: 1,064,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,787 : 678,889 = 678,889 : x
  2. Step 2: Convert to fraction form
    432,787/678,889 = 678,889/x
  3. Step 3: Cross multiply
    432,787x = 678,889 × 678,889
  4. Step 4: Simplify right side
    432,787x = 460,890,274,321
  5. Step 5: Solve for x
    x = 460,890,274,321/432,787
  6. Step 6: Final answer
    x = 1,064,935.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.