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Finding the Third Proportional to 74,113 and 159,890

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Solution

The third proportional to 74,113 and 159,890 is: 344,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,113 : 159,890 = 159,890 : x
  2. Step 2: Convert to fraction form
    74,113/159,890 = 159,890/x
  3. Step 3: Cross multiply
    74,113x = 159,890 × 159,890
  4. Step 4: Simplify right side
    74,113x = 25,564,812,100
  5. Step 5: Solve for x
    x = 25,564,812,100/74,113
  6. Step 6: Final answer
    x = 344,943.70

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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.