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Finding the Third Proportional to 165,489 and 357,214.50

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Solution

The third proportional to 165,489 and 357,214.50 is: 771,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,489 : 357,214.50 = 357,214.50 : x
  2. Step 2: Convert to fraction form
    165,489/357,214.50 = 357,214.50/x
  3. Step 3: Cross multiply
    165,489x = 357,214.50 × 357,214.50
  4. Step 4: Simplify right side
    165,489x = 127,602,199,010.25
  5. Step 5: Solve for x
    x = 127,602,199,010.25/165,489
  6. Step 6: Final answer
    x = 771,061.51

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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.