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Finding the Third Proportional to 457,526 and 689,889

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Solution

The third proportional to 457,526 and 689,889 is: 1,040,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,526 : 689,889 = 689,889 : x
  2. Step 2: Convert to fraction form
    457,526/689,889 = 689,889/x
  3. Step 3: Cross multiply
    457,526x = 689,889 × 689,889
  4. Step 4: Simplify right side
    457,526x = 475,946,832,321
  5. Step 5: Solve for x
    x = 475,946,832,321/457,526
  6. Step 6: Final answer
    x = 1,040,261.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.