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Finding the Third Proportional to 77,485 and 169,710

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Solution

The third proportional to 77,485 and 169,710 is: 371,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,485 : 169,710 = 169,710 : x
  2. Step 2: Convert to fraction form
    77,485/169,710 = 169,710/x
  3. Step 3: Cross multiply
    77,485x = 169,710 × 169,710
  4. Step 4: Simplify right side
    77,485x = 28,801,484,100
  5. Step 5: Solve for x
    x = 28,801,484,100/77,485
  6. Step 6: Final answer
    x = 371,704.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.