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Finding the Third Proportional to 165,272 and 357,040

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Solution

The third proportional to 165,272 and 357,040 is: 771,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,272 : 357,040 = 357,040 : x
  2. Step 2: Convert to fraction form
    165,272/357,040 = 357,040/x
  3. Step 3: Cross multiply
    165,272x = 357,040 × 357,040
  4. Step 4: Simplify right side
    165,272x = 127,477,561,600
  5. Step 5: Solve for x
    x = 127,477,561,600/165,272
  6. Step 6: Final answer
    x = 771,319.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.