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Finding the Third Proportional to 78,485 and 117,414

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Solution

The third proportional to 78,485 and 117,414 is: 175,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,485 : 117,414 = 117,414 : x
  2. Step 2: Convert to fraction form
    78,485/117,414 = 117,414/x
  3. Step 3: Cross multiply
    78,485x = 117,414 × 117,414
  4. Step 4: Simplify right side
    78,485x = 13,786,047,396
  5. Step 5: Solve for x
    x = 13,786,047,396/78,485
  6. Step 6: Final answer
    x = 175,652.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.