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Finding the Third Proportional to 180,605 and 265,670

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Solution

The third proportional to 180,605 and 265,670 is: 390,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,605 : 265,670 = 265,670 : x
  2. Step 2: Convert to fraction form
    180,605/265,670 = 265,670/x
  3. Step 3: Cross multiply
    180,605x = 265,670 × 265,670
  4. Step 4: Simplify right side
    180,605x = 70,580,548,900
  5. Step 5: Solve for x
    x = 70,580,548,900/180,605
  6. Step 6: Final answer
    x = 390,800.64

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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.