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Finding the Third Proportional to 77,242 and 169,247

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Solution

The third proportional to 77,242 and 169,247 is: 370,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242 : 169,247 = 169,247 : x
  2. Step 2: Convert to fraction form
    77,242/169,247 = 169,247/x
  3. Step 3: Cross multiply
    77,242x = 169,247 × 169,247
  4. Step 4: Simplify right side
    77,242x = 28,644,547,009
  5. Step 5: Solve for x
    x = 28,644,547,009/77,242
  6. Step 6: Final answer
    x = 370,841.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.