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Finding the Third Proportional to 159,818 and 344,543

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Solution

The third proportional to 159,818 and 344,543 is: 742,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,818 : 344,543 = 344,543 : x
  2. Step 2: Convert to fraction form
    159,818/344,543 = 344,543/x
  3. Step 3: Cross multiply
    159,818x = 344,543 × 344,543
  4. Step 4: Simplify right side
    159,818x = 118,709,878,849
  5. Step 5: Solve for x
    x = 118,709,878,849/159,818
  6. Step 6: Final answer
    x = 742,781.66

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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.