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Finding the Third Proportional to 340,492.50 and 515,472.75

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Solution

The third proportional to 340,492.50 and 515,472.75 is: 780,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,492.50 : 515,472.75 = 515,472.75 : x
  2. Step 2: Convert to fraction form
    340,492.50/515,472.75 = 515,472.75/x
  3. Step 3: Cross multiply
    340,492.50x = 515,472.75 × 515,472.75
  4. Step 4: Simplify right side
    340,492.50x = 265,712,155,992.56
  5. Step 5: Solve for x
    x = 265,712,155,992.56/340,492.50
  6. Step 6: Final answer
    x = 780,375.94

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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.