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Finding the Third Proportional to 76,985.50 and 165,430

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Solution

The third proportional to 76,985.50 and 165,430 is: 355,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.50 : 165,430 = 165,430 : x
  2. Step 2: Convert to fraction form
    76,985.50/165,430 = 165,430/x
  3. Step 3: Cross multiply
    76,985.50x = 165,430 × 165,430
  4. Step 4: Simplify right side
    76,985.50x = 27,367,084,900
  5. Step 5: Solve for x
    x = 27,367,084,900/76,985.50
  6. Step 6: Final answer
    x = 355,483.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.