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Finding the Third Proportional to 77,127 and 160,410

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Solution

The third proportional to 77,127 and 160,410 is: 333,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,127 : 160,410 = 160,410 : x
  2. Step 2: Convert to fraction form
    77,127/160,410 = 160,410/x
  3. Step 3: Cross multiply
    77,127x = 160,410 × 160,410
  4. Step 4: Simplify right side
    77,127x = 25,731,368,100
  5. Step 5: Solve for x
    x = 25,731,368,100/77,127
  6. Step 6: Final answer
    x = 333,623.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.