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Finding the Third Proportional to 40,670 and 74,590

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Solution

The third proportional to 40,670 and 74,590 is: 136,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,670 : 74,590 = 74,590 : x
  2. Step 2: Convert to fraction form
    40,670/74,590 = 74,590/x
  3. Step 3: Cross multiply
    40,670x = 74,590 × 74,590
  4. Step 4: Simplify right side
    40,670x = 5,563,668,100
  5. Step 5: Solve for x
    x = 5,563,668,100/40,670
  6. Step 6: Final answer
    x = 136,800.30

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.