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Finding the Third Proportional to 508,473 and 689,790

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Solution

The third proportional to 508,473 and 689,790 is: 935,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,473 : 689,790 = 689,790 : x
  2. Step 2: Convert to fraction form
    508,473/689,790 = 689,790/x
  3. Step 3: Cross multiply
    508,473x = 689,790 × 689,790
  4. Step 4: Simplify right side
    508,473x = 475,810,244,100
  5. Step 5: Solve for x
    x = 475,810,244,100/508,473
  6. Step 6: Final answer
    x = 935,763.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.