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Finding the Third Proportional to 218,753 and 342,709

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Solution

The third proportional to 218,753 and 342,709 is: 536,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,753 : 342,709 = 342,709 : x
  2. Step 2: Convert to fraction form
    218,753/342,709 = 342,709/x
  3. Step 3: Cross multiply
    218,753x = 342,709 × 342,709
  4. Step 4: Simplify right side
    218,753x = 117,449,458,681
  5. Step 5: Solve for x
    x = 117,449,458,681/218,753
  6. Step 6: Final answer
    x = 536,904.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.