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Finding the Third Proportional to 431,889 and 675,963

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Solution

The third proportional to 431,889 and 675,963 is: 1,057,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,889 : 675,963 = 675,963 : x
  2. Step 2: Convert to fraction form
    431,889/675,963 = 675,963/x
  3. Step 3: Cross multiply
    431,889x = 675,963 × 675,963
  4. Step 4: Simplify right side
    431,889x = 456,925,977,369
  5. Step 5: Solve for x
    x = 456,925,977,369/431,889
  6. Step 6: Final answer
    x = 1,057,970.86

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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.