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Finding the Third Proportional to 509,690 and 809,737

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Solution

The third proportional to 509,690 and 809,737 is: 1,286,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,690 : 809,737 = 809,737 : x
  2. Step 2: Convert to fraction form
    509,690/809,737 = 809,737/x
  3. Step 3: Cross multiply
    509,690x = 809,737 × 809,737
  4. Step 4: Simplify right side
    509,690x = 655,674,009,169
  5. Step 5: Solve for x
    x = 655,674,009,169/509,690
  6. Step 6: Final answer
    x = 1,286,417.25

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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.