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Finding the Third Proportional to 340,085 and 508,350

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Solution

The third proportional to 340,085 and 508,350 is: 759,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,085 : 508,350 = 508,350 : x
  2. Step 2: Convert to fraction form
    340,085/508,350 = 508,350/x
  3. Step 3: Cross multiply
    340,085x = 508,350 × 508,350
  4. Step 4: Simplify right side
    340,085x = 258,419,722,500
  5. Step 5: Solve for x
    x = 258,419,722,500/340,085
  6. Step 6: Final answer
    x = 759,868.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.