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Finding the Third Proportional to 350,640 and 499,689

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Solution

The third proportional to 350,640 and 499,689 is: 712,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,640 : 499,689 = 499,689 : x
  2. Step 2: Convert to fraction form
    350,640/499,689 = 499,689/x
  3. Step 3: Cross multiply
    350,640x = 499,689 × 499,689
  4. Step 4: Simplify right side
    350,640x = 249,689,096,721
  5. Step 5: Solve for x
    x = 249,689,096,721/350,640
  6. Step 6: Final answer
    x = 712,095.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.