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Finding the Third Proportional to 339,484.50 and 512,685

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Solution

The third proportional to 339,484.50 and 512,685 is: 774,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,484.50 : 512,685 = 512,685 : x
  2. Step 2: Convert to fraction form
    339,484.50/512,685 = 512,685/x
  3. Step 3: Cross multiply
    339,484.50x = 512,685 × 512,685
  4. Step 4: Simplify right side
    339,484.50x = 262,845,909,225
  5. Step 5: Solve for x
    x = 262,845,909,225/339,484.50
  6. Step 6: Final answer
    x = 774,250.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.