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Finding the Third Proportional to 354,721.50 and 509,938.50

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Solution

The third proportional to 354,721.50 and 509,938.50 is: 733,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,721.50 : 509,938.50 = 509,938.50 : x
  2. Step 2: Convert to fraction form
    354,721.50/509,938.50 = 509,938.50/x
  3. Step 3: Cross multiply
    354,721.50x = 509,938.50 × 509,938.50
  4. Step 4: Simplify right side
    354,721.50x = 260,037,273,782.25
  5. Step 5: Solve for x
    x = 260,037,273,782.25/354,721.50
  6. Step 6: Final answer
    x = 733,074.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.