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Finding the Third Proportional to 459,540 and 689,796

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Solution

The third proportional to 459,540 and 689,796 is: 1,035,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,540 : 689,796 = 689,796 : x
  2. Step 2: Convert to fraction form
    459,540/689,796 = 689,796/x
  3. Step 3: Cross multiply
    459,540x = 689,796 × 689,796
  4. Step 4: Simplify right side
    459,540x = 475,818,521,616
  5. Step 5: Solve for x
    x = 475,818,521,616/459,540
  6. Step 6: Final answer
    x = 1,035,423.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.