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Finding the Third Proportional to 509,360 and 689,302

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Solution

The third proportional to 509,360 and 689,302 is: 932,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,360 : 689,302 = 689,302 : x
  2. Step 2: Convert to fraction form
    509,360/689,302 = 689,302/x
  3. Step 3: Cross multiply
    509,360x = 689,302 × 689,302
  4. Step 4: Simplify right side
    509,360x = 475,137,247,204
  5. Step 5: Solve for x
    x = 475,137,247,204/509,360
  6. Step 6: Final answer
    x = 932,812.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.