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Finding the Third Proportional to 508,725 and 809,788

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Solution

The third proportional to 508,725 and 809,788 is: 1,289,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,725 : 809,788 = 809,788 : x
  2. Step 2: Convert to fraction form
    508,725/809,788 = 809,788/x
  3. Step 3: Cross multiply
    508,725x = 809,788 × 809,788
  4. Step 4: Simplify right side
    508,725x = 655,756,604,944
  5. Step 5: Solve for x
    x = 655,756,604,944/508,725
  6. Step 6: Final answer
    x = 1,289,019.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.