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Finding the Third Proportional to 216,178.50 and 343,513.88

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Solution

The third proportional to 216,178.50 and 343,513.88 is: 545,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.50 : 343,513.88 = 343,513.88 : x
  2. Step 2: Convert to fraction form
    216,178.50/343,513.88 = 343,513.88/x
  3. Step 3: Cross multiply
    216,178.50x = 343,513.88 × 343,513.88
  4. Step 4: Simplify right side
    216,178.50x = 118,001,782,317.52
  5. Step 5: Solve for x
    x = 118,001,782,317.52/216,178.50
  6. Step 6: Final answer
    x = 545,853.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.