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Finding the Third Proportional to 342,121.50 and 492,810.75

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Solution

The third proportional to 342,121.50 and 492,810.75 is: 709,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,121.50 : 492,810.75 = 492,810.75 : x
  2. Step 2: Convert to fraction form
    342,121.50/492,810.75 = 492,810.75/x
  3. Step 3: Cross multiply
    342,121.50x = 492,810.75 × 492,810.75
  4. Step 4: Simplify right side
    342,121.50x = 242,862,435,315.56
  5. Step 5: Solve for x
    x = 242,862,435,315.56/342,121.50
  6. Step 6: Final answer
    x = 709,871.89

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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.