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Finding the Third Proportional to 169,643 and 262,808

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Solution

The third proportional to 169,643 and 262,808 is: 407,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,643 : 262,808 = 262,808 : x
  2. Step 2: Convert to fraction form
    169,643/262,808 = 262,808/x
  3. Step 3: Cross multiply
    169,643x = 262,808 × 262,808
  4. Step 4: Simplify right side
    169,643x = 69,068,044,864
  5. Step 5: Solve for x
    x = 69,068,044,864/169,643
  6. Step 6: Final answer
    x = 407,137.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.