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Finding the Third Proportional to 163,048 and 257,705

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Solution

The third proportional to 163,048 and 257,705 is: 407,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,048 : 257,705 = 257,705 : x
  2. Step 2: Convert to fraction form
    163,048/257,705 = 257,705/x
  3. Step 3: Cross multiply
    163,048x = 257,705 × 257,705
  4. Step 4: Simplify right side
    163,048x = 66,411,867,025
  5. Step 5: Solve for x
    x = 66,411,867,025/163,048
  6. Step 6: Final answer
    x = 407,314.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.