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Finding the Third Proportional to 342,621 and 512,041.50

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Solution

The third proportional to 342,621 and 512,041.50 is: 765,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,621 : 512,041.50 = 512,041.50 : x
  2. Step 2: Convert to fraction form
    342,621/512,041.50 = 512,041.50/x
  3. Step 3: Cross multiply
    342,621x = 512,041.50 × 512,041.50
  4. Step 4: Simplify right side
    342,621x = 262,186,497,722.25
  5. Step 5: Solve for x
    x = 262,186,497,722.25/342,621
  6. Step 6: Final answer
    x = 765,237.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.