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Finding the Third Proportional to 162,155.25 and 257,661

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Solution

The third proportional to 162,155.25 and 257,661 is: 409,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,155.25 : 257,661 = 257,661 : x
  2. Step 2: Convert to fraction form
    162,155.25/257,661 = 257,661/x
  3. Step 3: Cross multiply
    162,155.25x = 257,661 × 257,661
  4. Step 4: Simplify right side
    162,155.25x = 66,389,190,921
  5. Step 5: Solve for x
    x = 66,389,190,921/162,155.25
  6. Step 6: Final answer
    x = 409,417.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.