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Finding the Third Proportional to 74,149.31 and 159,962.63

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Solution

The third proportional to 74,149.31 and 159,962.63 is: 345,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,149.31 : 159,962.63 = 159,962.63 : x
  2. Step 2: Convert to fraction form
    74,149.31/159,962.63 = 159,962.63/x
  3. Step 3: Cross multiply
    74,149.31x = 159,962.63 × 159,962.63
  4. Step 4: Simplify right side
    74,149.31x = 25,588,041,396.89
  5. Step 5: Solve for x
    x = 25,588,041,396.89/74,149.31
  6. Step 6: Final answer
    x = 345,088.05

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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.