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Finding the Third Proportional to 74,646 and 109,791

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Solution

The third proportional to 74,646 and 109,791 is: 161,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646 : 109,791 = 109,791 : x
  2. Step 2: Convert to fraction form
    74,646/109,791 = 109,791/x
  3. Step 3: Cross multiply
    74,646x = 109,791 × 109,791
  4. Step 4: Simplify right side
    74,646x = 12,054,063,681
  5. Step 5: Solve for x
    x = 12,054,063,681/74,646
  6. Step 6: Final answer
    x = 161,483.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.