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Finding the Third Proportional to 351,139.50 and 531,807

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Solution

The third proportional to 351,139.50 and 531,807 is: 805,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,139.50 : 531,807 = 531,807 : x
  2. Step 2: Convert to fraction form
    351,139.50/531,807 = 531,807/x
  3. Step 3: Cross multiply
    351,139.50x = 531,807 × 531,807
  4. Step 4: Simplify right side
    351,139.50x = 282,818,685,249
  5. Step 5: Solve for x
    x = 282,818,685,249/351,139.50
  6. Step 6: Final answer
    x = 805,431.13

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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.