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Finding the Third Proportional to 165,005 and 257,363

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Solution

The third proportional to 165,005 and 257,363 is: 401,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,005 : 257,363 = 257,363 : x
  2. Step 2: Convert to fraction form
    165,005/257,363 = 257,363/x
  3. Step 3: Cross multiply
    165,005x = 257,363 × 257,363
  4. Step 4: Simplify right side
    165,005x = 66,235,713,769
  5. Step 5: Solve for x
    x = 66,235,713,769/165,005
  6. Step 6: Final answer
    x = 401,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.