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Finding the Third Proportional to 34,690 and 74,646

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Solution

The third proportional to 34,690 and 74,646 is: 160,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690 : 74,646 = 74,646 : x
  2. Step 2: Convert to fraction form
    34,690/74,646 = 74,646/x
  3. Step 3: Cross multiply
    34,690x = 74,646 × 74,646
  4. Step 4: Simplify right side
    34,690x = 5,572,025,316
  5. Step 5: Solve for x
    x = 5,572,025,316/34,690
  6. Step 6: Final answer
    x = 160,623.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.