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Finding the Third Proportional to 159,818 and 344,545

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Solution

The third proportional to 159,818 and 344,545 is: 742,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,818 : 344,545 = 344,545 : x
  2. Step 2: Convert to fraction form
    159,818/344,545 = 344,545/x
  3. Step 3: Cross multiply
    159,818x = 344,545 × 344,545
  4. Step 4: Simplify right side
    159,818x = 118,711,257,025
  5. Step 5: Solve for x
    x = 118,711,257,025/159,818
  6. Step 6: Final answer
    x = 742,790.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.