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Finding the Third Proportional to 127,710 and 170,820

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Solution

The third proportional to 127,710 and 170,820 is: 228,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710 : 170,820 = 170,820 : x
  2. Step 2: Convert to fraction form
    127,710/170,820 = 170,820/x
  3. Step 3: Cross multiply
    127,710x = 170,820 × 170,820
  4. Step 4: Simplify right side
    127,710x = 29,179,472,400
  5. Step 5: Solve for x
    x = 29,179,472,400/127,710
  6. Step 6: Final answer
    x = 228,482.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.