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Finding the Third Proportional to 351,140.50 and 531,808.50

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Solution

The third proportional to 351,140.50 and 531,808.50 is: 805,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,140.50 : 531,808.50 = 531,808.50 : x
  2. Step 2: Convert to fraction form
    351,140.50/531,808.50 = 531,808.50/x
  3. Step 3: Cross multiply
    351,140.50x = 531,808.50 × 531,808.50
  4. Step 4: Simplify right side
    351,140.50x = 282,820,280,672.25
  5. Step 5: Solve for x
    x = 282,820,280,672.25/351,140.50
  6. Step 6: Final answer
    x = 805,433.38

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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.