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Finding the Third Proportional to 76,470 and 164,657

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Solution

The third proportional to 76,470 and 164,657 is: 354,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470 : 164,657 = 164,657 : x
  2. Step 2: Convert to fraction form
    76,470/164,657 = 164,657/x
  3. Step 3: Cross multiply
    76,470x = 164,657 × 164,657
  4. Step 4: Simplify right side
    76,470x = 27,111,927,649
  5. Step 5: Solve for x
    x = 27,111,927,649/76,470
  6. Step 6: Final answer
    x = 354,543.32

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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.